Question

Solve by substitution
v+w=11
2v-w=16

Answer 1

w = 3

v = 8

Explanation:

v + w = 11 can be written

v = 11-w substitute this for v

2v - w = 16

2(11 -w) - w = 16 Distribute the 2

22 - 2w = 16 Subtract 22 from both sides

22 - 22 -2w = 16 - 22

-2w = -6 Divide both sides by -2

`(-2w)/(-2)` =
`(-6)/(-2)`

w = 3

v = 11 - w

v = 11 -3

v =8

Check:

v + w = 11

8 + 3 = 11

11 = 11 Checks

2v - w = 16

2(8) - 3 = 16

19 - 3 = 16

16 = 16 checks