Question

Use the substitution method to solve the system of equations. x + 2y = 15 and 2x - 3y = 2

Answer 1

subtract 2y on both sides x=-2y+15 and plug in on the second equation for x so will be
2(-2y+15)-3y=2

Answer 2

and solve for y

Answer 3

-2(x+2y=15)
2x-3y=2
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-2x-4y=-30
2x-3y=2 (add them)
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-7y=-28
(divide by -7)
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y= 4

then substitute y in one of the equations
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2x-3(4)=2
2x-7=2
(add 7)
2x=9
x= 9/2
(then check)