Question

How do you solve using elimination of `3x-2y=-1` and `3x-4y=9`?

Answer 1

Multiply the second equation by `-1` , and add the two equations together to get:
`x=-11/3` and `y=-5`

Explanation:

Multiply the second equation by `-1` and add the two equations together:

`+3x-2y=-1`
`-3x+4y=-9`

`0+2y=-10`

This eliminates the `x` variable, so we can find `y` :
`y=-5`

Now substitute `y` in either equation to obtain `x` :
`3x-2*(-5)=-1`
`3x=-1-10 = -11`

`x=-11/3`