Question

How do you solve `7x - 2y = -23` and `2x - 3y =-9`?

Answer 1

`x=-3`
`y=1`

Explanation:

I solved the second equation for `x`, then substituted it into the first.

`2x-3y=-9`
`2x=3y-9`
`x=1.5y-4.5`

`7(1.5y-4.5)-2y=-23`
`10.5y-31.5-2y=-23`
`8.5y=8.5`
`y=1`

Next I substituted `y=1` into the second equation
`2x-3(1)=-9`
`2x-3=-9`
`2x=-6`
`x=-3`

check:
`7(-3)-2(1)=-23`
`-21-2=-23`
`-23=-23`