1) 5v + 4w = 1
2) 3v - 6w = 2
Mutliply (1) by 3 and (2) by 2:
1) 15v + 12w = 3
2) 6v - 12w = 4
Add the two equations:
15v + 6v = 3 + 4
21v = 7
v = 7 / 21
=> v = 1/3
Replace v = 1/3 on any of the equations and solve for w:
3(1/3) - 6w = 2
1 - 6w = 2
6w = 1 - 2
6w = - 1
w = - 1 / 6
Answer w = - 1 / 6