Question

How do you solve the following system?: `-x -3y =7, 4x -5y = -3`

Answer 1

`y=-25/17`
`x=-44/17`

Explanation:

I'm gonna use substitution for this one.
`-x-3y=7`
`-x-3y-7=0`
`-3y-7=x`

now substitute...

`4x-5y=-3`
`4(-3y-7)-5y=-3`
`-12y-28-5y=-3`
`-17y-28=-3`
`-17y=25`

`y=-25/17`

substitute into the equation above...
`-3y-7=x`
`-3(-25/17)-7=x`
`75/17-7=x`
`75/17-119/17=x`

`-44/17=x`