Answer:
x = -4; y = 3
Explanation:
-3x + 4y = 24
6x + 2y = -18
Rewrite the first equation as it is. Divide both sides of the second equation by 2 and write it below the first equation. Then add the equations.
-3x + 4y = 24
+ 3x + y = -9
----------------------------
5y = 15
Divide both sides by 5.
y = 3
Now plug in 3 into y in the first original equation and solve for x.
-3x + 4y = 24
-3x + 4(3) = 24
-3x + 12 = 24
-3x = 12
x = 12/(-3)
x = -4
Answer: x = -4; y = 3