Question

Solve using the addition method. What is the y-value of the solution to the system?
2x - 3y = -1
3x + 4y = 24

Answer 1

the addition method, I believe, is the same as the elimination method

2x - 3y = -1 ---->(3)
3x + 4y = 24 --->(-2)
-------------------
6x - 9y = -3 (result of multiplying by 3)
-6x - 8y = -48 (result of multiplying by -2)
-------------------add
-17y = - 51
y = -51/-17
y = 3

2x - 3y = -1
2x - 3(3) = -1
2x - 9 = -1
2x = 9 - 1
2x = 8
x = 4

check..
3x + 4y = 24
3(4) + 4(3) = 24
12 + 12 = 24
24 = 24 (correct)

I know you just needed the y term, but I went ahead and solved for x as well, so I could check my answers. Answer is : y = 3