# math(algebra 1)

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*graph and check to solve the linear system
y=-x+3
y=x+1
Thank you very very much!!! :)

• math(algebra 1) -

y = -x + 3
y = x + 1

rewrite
y + x = 3
y - x = 1

to eliminate the variable x, add the 2 equations together. Since x + -x = 0, the x variable is eliminated

y + x = 3
y - x = 1
2y = 4
y = 2

to find x, substitute y = 2 in
y + x = 3
2 + x = 3
x = 1

CHECK
x = 1, y = 2
y - x = 1
2 - 1 = 1
1 = 1

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