2x - 3y = -4 if x + 3y = 7
2 answers:
(2x-3y=-4)-2(x+3y=7)
2x-3y-2x-6y=-4-14
-9y=-18
y=2, making x+3y=7 become:
x+6=7
x=1
So the solution to the system of equations is the point (1,2)
Leave x alone on one side.
x = 7 - 3y
Substitute into equation
2(7 - 3y) - 3y = -4
Distribute
14 - 6y - 3y = -4
Solve
14 - 9y = -4
14 + 4 = 9y
18 = 9y
y = 18/9
y = 2
x = 1
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