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John has to buy 20 packages of apples or peaches.  He has $20 and peaches cost $1.50 and apples cost $0.50. He has to buy 20 packages and has to spend exactly $20. How much peaches and apples should he buy?

x=apples
y=peaches
x+y=20
0.5 x+1.5 y=20
x=10
y=10

John has to buy 10 packages of apples and 10 packages of peaches.

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Row Reduction Matrix

What I do first is try to isolate the first column by making the top 1 and making the bottom side 0. I then do the same to the second column except I make the top 0 and the bottom 1. Then the answer is on the third column.

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We used a whole lot of equations or inequalities this module such as space or time. We graphed all those inequalities and found the max profit through that.

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https://www.youtube.com/watch?v=9LYVi-n-6Jw
This video helped me with row reduction matrices. I was struggling with row reduction matrices so I watched this video to help me with it. It thought me step by step what to do and how to solve them.

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Feasible region:
An area that meets the requirements for a system of inequalities.

Matrix: Numbers arranged in a row and column formation and used to solve mathematical problems

Boundary Line: A line used to split the coordinate plane by an equation or inequality

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Module 2 Systems of Equations and Inequalities

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Module 2 Systems of Equations and Inequalities

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Caleb Hahm