5v + 2w = 36
8v - 3w = -54
multiply the top equation by 3 on both sides and the bottom equation by 2 on both sides
15v + 6w = 108
16v - 6w = -108
Add the equations straight down
31v + 0w = 0
31v = 0
v = 0
5v + 2w = 36
5(0) + 2w = 36
2w = 36
w = 18
Answer: v = 0, w = 18