https://padlet.com/felixmariano2/qxz76ywpc69lejsl Write your response to the topic on every column as well as your reactions to other classmate comments en-us 2022-04-22 22:44:29 UTC 2025-12-05 10:50:14 UTC hello@padlet.com https://padlet.net/icons/png/1f9d4.png https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156751260 First, solve one linear equation for y in terms of x . Then substitute that expression for y in the other linear equation]]> 2022-04-25 15:12:52 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156751260 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156754898 where the line crosses the x -axis,]]> 2022-04-25 15:14:37 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156754898 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156756759 Make a graph and look for the points where both line cross.]]> 2022-04-25 15:15:33 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156756759 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156764774  solve one linear equation for y in terms of x where the line crosses the x -axis,

]]> 2022-04-25 15:19:20 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156764774 pmnfrrcjm6 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156765031 A Linear Equation is an equation of a line. A System of those two equations can be solved (find where they intersect), either: Using Algebra.]]> 2022-04-25 15:19:28 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156765031 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156765467 How you would find the roots of a system of linear equations is by making a graph and see where the line crosses the x-axis and then substitute the expression for the y-axis. Hector B]]> 2022-04-25 15:19:42 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156765467 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156769247 where the line crosses the x-axis]]> 2022-04-25 15:21:24 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156769247 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156782747 You would find the roots of a system of linear equations is by making a graph and see where the line crosses the x-axis and then substitute the expression for the y-axis.]]> 2022-04-25 15:28:15 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156782747 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156797070 Making a graph and see where the line crosses the x axis ]]> 2022-04-25 15:35:08 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2156797070 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2157209633 2022-04-25 19:17:12 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2157209633 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158689703 To find the roots of a system of linear equations I would solve one linear equation for y in terms of x where the line crosses the x -axis,]]> 2022-04-26 14:58:42 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158689703 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158691932  To find the solutions of a quadratic linear system I would isolate one of the two variables then substate and etc .]]> 2022-04-26 14:59:51 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158691932 hrodriguez80 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158717098 by using the elimination or substitution method]]> 2022-04-26 15:12:22 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158717098 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158720740 you will find the roots of a system in linear equation is making a graph and you will find a line that crossed the x axis]]> 2022-04-26 15:14:04 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158720740 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158720761

Isolate one of the two variables in one of the equations. ... 

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ... 

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-26 15:14:05 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158720761 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158720937

Isolate one of the two variables in one of the equations. ...

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ...

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-26 15:14:11 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158720937 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158720999 Isolate one of the two variables in one of the equations. ]]> 2022-04-26 15:14:13 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158720999 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158721755 Substitute the expression that is equal to the isolated variable into the other equation after isolating one of the two variable.]]> 2022-04-26 15:14:37 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158721755 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158722003 Substitute the expression that is equal to the isolated variable from Step 1 into the other equation.]]> 2022-04-26 15:14:47 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158722003 hrodriguez80 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158722420 To solve, set the two quadratics equal to each other and then combine like terms.]]> 2022-04-26 15:15:00 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158722420 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158722626 Isolate one of the two variables in one of the equations, Substitute the expression that is equal to the isolated variable from Step 1 into the other equation, Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-26 15:15:07 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158722626 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158723413 by isolating one of the two variables in one of the equations]]> 2022-04-26 15:15:32 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158723413 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158725936

Isolate one of the two variables in one of the equations. ...

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ...

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-26 15:16:49 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158725936 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158731381

Isolate one of the two variables in one of the equations. ...

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ...

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-26 15:19:12 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158731381 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158738763

Isolate one of the two variables in one of the equations. ... 

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ... 

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-26 15:22:52 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158738763 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158738774

Isolate one of the two variables in one of the equations. ...

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ...

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-26 15:22:52 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158738774 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158740829 How I would find the solutions of a quadratic linear system is by substituting the expression that is equal to the isolated variable from the two variables. Hector B]]> 2022-04-26 15:23:55 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158740829 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158741175

Isolate one of the two variables in one of the equations. ...

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ...

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-26 15:24:06 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2158741175 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160614204 α and γ are distinct. Thus, a(α - γ) = 0 cannot be true. Therefore, our assumption that a quadratic equation has three distinct real roots is wrong. Hence, every quadratic equation cannot have more than 2 roots.]]> 2022-04-27 15:35:27 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160614204 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160616195  our assumption that a quadratic equation has three distinct real roots is wrong. ]]> 2022-04-27 15:36:29 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160616195 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160617002 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions.]]> 2022-04-27 15:36:55 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160617002 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160618871 α and γ are distinct. Thus, a(α - γ) = 0 cannot be true. Therefore, our assumption that a quadratic equation has three distinct real roots is wrong.]]> 2022-04-27 15:37:51 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160618871 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160619205 A quadratic-linear system cannot have more than two solutions because every quadratic equation cannot have more than 2 roots. Hector B]]> 2022-04-27 15:38:02 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160619205 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160620244 A quadratic linear system cannot have more than two solutions because no other values of x satisfies the equation except a and b.]]> 2022-04-27 15:38:34 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160620244 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160620902 One may find the roots of a system of linear equations by solving one linear equation for y in terms of x, where the line will cross the x -axis.

]]> 2022-04-27 15:38:59 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160620902 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160621795 A quadratic-linear system cannot have more than two solutions because every quadratic equation cannot have more than 2 roots!]]> 2022-04-27 15:39:27 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160621795 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160623187 α and γ are distinct. Thus, a(α - γ) = 0 cannot be true. Therefore, our assumption that a quadratic equation has three distinct real roots is wrong. Hence, every quadratic equation cannot have more than 2 roots.]]> 2022-04-27 15:40:12 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160623187 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160626552 A quadratic-linear system cannot have more than two solutions because every quadratic equation cannot have more than 2 roots!]]> 2022-04-27 15:42:08 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160626552 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160627645 A quadratic-linear system cannot have more than two solutions because a line can only intersect up to two times. ]]> 2022-04-27 15:42:48 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160627645 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160630208 herefore, our assumption that a quadratic equation has three distinct real roots is wrong. Hence, every quadratic equation cannot have more than 2 roots.]]> 2022-04-27 15:44:14 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160630208 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160666590 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions]]> 2022-04-27 16:03:09 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2160666590 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161127779 a quadratic-linear system cannot have more than two solutions because every quadratic equation cannot have more than 2 roots.]]> 2022-04-27 21:37:38 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161127779 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161128634 You would find the roots of a system of linear equations is by making a graph and see where the line crosses the x-axis and then substitute the expression for the y-axis.]]> 2022-04-27 21:38:38 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161128634 hrodriguez80 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161239052 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions.]]> 2022-04-28 00:06:03 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161239052 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161459903 You would find the roots of a system of linear equations is by making a graph and see where the line crosses the x-axis and then substitute the expression for the y-axis.]]> 2022-04-28 03:10:12 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161459903 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161460298 Substitute the expression that is equal to the isolated variable into the other equation after isolating one of the two variable.]]> 2022-04-28 03:10:32 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161460298 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161460714 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions.]]> 2022-04-28 03:10:54 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2161460714 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162611427 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions.]]> 2022-04-28 13:22:14 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162611427 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162613504 Recall that the discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0  is the expression 𝑏 − 4 𝑎 𝑐  . If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-28 13:23:20 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162613504 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162814983 If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-28 15:11:32 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162814983 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162816241 Recall that the discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0  is the expression 𝑏 − 4 𝑎 𝑐  . If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-28 15:12:15 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162816241 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162816479 If the discriminant is negative, then we know that the quadratic equation will have complex roots.

]]> 2022-04-28 15:12:20 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162816479 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162817274 The discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0 is the expression 𝑏 − 4 𝑎 𝑐  and If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-28 15:12:46 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162817274 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162817676 Recall that the discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0  is the expression 𝑏 − 4 𝑎 𝑐  . If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-28 15:13:00 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162817676 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162819087 Recall that the discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0  is the expression 𝑏 − 4 𝑎 𝑐  . If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-28 15:13:46 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162819087 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162819527 if the discriminant is negative, then the quadratic equation has complex roots]]> 2022-04-28 15:14:02 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162819527 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162820093 You would find the roots of a system of linear equations is by making a graph and see where the line crosses the x-axis and then substitute the expression for the y-axis.]]> 2022-04-28 15:14:22 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162820093 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162821943 if the discriminant is negative, then the quadratic equation has complex roots.

]]> 2022-04-28 15:15:24 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162821943 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162823905 If the discriminant is negative then we know that the quadratic equation will have complex roots .]]> 2022-04-28 15:16:29 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162823905 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162825667 if the discriminant is negative, then the quadratic equation has complex roots!

]]> 2022-04-28 15:17:24 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162825667 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162826840 There are no intersection points I think you spell it I forgot. So you can not because every quadratic equation cannot have more than 2 roots. Hector B]]> 2022-04-28 15:18:03 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162826840 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162830418 If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-28 15:20:05 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162830418 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162901122

Isolate one of the two variables in one of the equations. ...

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ...

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-04-28 15:59:07 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162901122 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162902727 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions.]]> 2022-04-28 16:00:06 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162902727 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162903451 if the discriminant is negative, then the quadratic equation has complex roots.]]> 2022-04-28 16:00:36 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2162903451 hrodriguez80 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2163491298 If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-29 00:19:45 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2163491298 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2164486484
Recall that the discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0  is the expression 𝑏 − 4 𝑎 𝑐  . If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-29 15:23:53 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2164486484 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2164550560 2022-04-29 16:06:28 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2164550560 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2164551263 Recall that the discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0  is the expression 𝑏 − 4 𝑎 𝑐  . If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-29 16:06:59 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2164551263 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167765341 You would find the roots of a system of linear equations is by making a graph and see where the line crosses the x-axis and then substitute the expression for the y-axis.]]> 2022-05-03 04:17:09 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167765341 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167765572 Substitute the expression that is equal to the isolated variable into the other equation after isolating one of the two variable.]]> 2022-05-03 04:17:30 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167765572 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167765969 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions.]]> 2022-05-03 04:18:06 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167765969 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167766210 if the discriminant is negative, then the quadratic equation has complex roots.]]> 2022-05-03 04:18:30 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167766210 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167768485 One way to find the roots to a system of a linear equation would be to look at a graph. When graphed, linear equations appear as straight lines. In order to find the *root(s)* of a linear equation, you would have to look at where the lines intersect.]]> 2022-05-03 04:21:43 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167768485 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167772214 According to Google, 

1. Isolate one of the two variables in one of the equations. ... 
2. Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ... 
3. Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-05-03 04:27:13 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167772214 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167773849 With the way that these types of equations are graphed, there is *no way* they’ll hit the x-axis more than twice, meaning they will *never* have more than two roots]]> 2022-05-03 04:29:45 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167773849 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167774699 If the discriminant is negative, this means that the line when graphed will *never* touch the x-axis, causing a complex root.]]> 2022-05-03 04:31:00 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2167774699 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2168476107 One way to find the roots to a system of a linear equation would be to look at a graph. When graphed, linear equations appear as straight lines. In order to find the *root(s)* of a linear equation, you would have to look at where the lines intersect.

]]> 2022-05-03 15:11:43 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2168476107 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2168476537

Isolate one of the two variables in one of the equations. ...

Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ...

Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-05-03 15:11:59 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2168476537 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2168477501 If the discriminant is negative, then we know that the quadratic equation will have complex roots.

]]> 2022-05-03 15:12:35 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2168477501 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2171612889 A Linear Equation is an equation of a line. A System of those two equations can be solved (find where they intersect), either: Using Algebra.]]> 2022-05-05 15:19:22 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2171612889 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2171614094 Isolate one of the two variables in one of the equations, Substitute the expression that is equal to the isolated variable from Step 1 into the other equation, Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

]]> 2022-05-05 15:20:02 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2171614094 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2171614803 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions.

]]> 2022-05-05 15:20:27 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2171614803 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2171615957 If the discriminant is negative, then we know that the quadratic equation will have complex roots.

]]> 2022-05-05 15:21:11 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2171615957 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2176083511 One way to find the roots to a system of a linear equation would be to look at a graph. When graphed, linear equations appear as straight lines. In order to find the *root(s)* of a linear equation, you would have to look at where the lines intersect.]]> 2022-05-09 16:54:02 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2176083511 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2176084341 Substitute the expression that is equal to the isolated variable into the other equation after isolating one of the two variable.]]> 2022-05-09 16:54:31 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2176084341 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2176085275 A quadratic-linear system cannot have more than two solutions because a line can only intersect zero, one, or two times; hence a linear and quadratic system can have zero, one, or two solutions.]]> 2022-05-09 16:55:01 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2176085275 https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2176086108 If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-05-09 16:55:30 UTC https://padlet.com/felixmariano2/qxz76ywpc69lejsl/wish/2176086108