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2x-6=x+10
x=16

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x+3=2x
subtract 3 and then 2x for both sides
x+3-3=2x-3
simplify
-x=-3
divide both sides of the equation by the same term
-x/-1=-3/-1 so x=3

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7x – 35 = 0. now we have  7x = 35 or x = 5.
. The above linear equation is only true if x = 5 and we solve and sense it can only be one solution x=80

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5x + 15 = 5x +15

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When a problem has no solution you'll end up with a statement that's false. for example 0=1 this is false because we know zero can't equal one.

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The lines intersect once on the graph which is the one solution

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7a + 3 = 7a - 4

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a=b

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a=a

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Infinite solutions would mean that any value for the variable would make the equation true . Always an identity is always true, for any value of x .,true everytime .

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no matter what constant is substituted in for the variable, the equation is ALWAYS true.

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Parallel lines never meet/ never touch each other so they have no solution

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y=2x+1