Question

How do you solve the system of equations `2x - 5y = 9` and `3x + 5y = - 24`?

Answer 1

`(-3,-3)`

Explanation:

Elimination is the easiest method to solve this system of equations. Add the two equations together. `-5y` and `5y` will cancel.
`2x-cancel(5y)=9`
`3x+cancel(5y)=-24`

`5x+0y=-15`
`5x=-15`

Solve for `x`.
`5x=-15`
`x=-3`

Substitute `x` for `-3` in one of the original equations and solve for `y`.
`2x-5y=9`
`2(-3)-5y=9`
`-6-5y=9`
`-5y=15`
`y=-3`

Answer:
`x=-3, y=-3`
`(-3,-3)`