y=2x-3

y=-3x+2

y = 2 x - 3

-
y = - 3 x + 2
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y - y = 2 x - ( - 3 x ) - 3 - 2

0 = 2 x + 3 x - 5

0 = 5 x - 5

Add 5 to both sides

5 = 5 x

Divide both sides by 5

1 = x

x = 1

y = 2 x - 3

y = 2 ∙ 1 - 3

y = 2 - 3

y = - 1

You can write this solution as ( 1 , - 1 )