Question

How do you solve the system of equations `v-w=-5` and `v+2w=4`?

Answer 1

See below.

Explanation:

We use elimination, and will subtract the two equations.
`v+2w=4`
`-`
`v-w=-5`

`3w=9`
`w=3`

Plugging this into the second equation,
`v-3=-5`
`v=-2`

So, `v=-2` and `w=3`.