Question

How do you solve the system of equations `x- 4y = 17` and `- x + 3y = - 13`?

Answer 1

(1,-4) is the only solution to this system.

Explanation:

I suggest lining up the two equations and using addition:
`x - 4y = 17`
`-x+3y=-13`

Result: `- y = 4` , so `y = -4`.

Substitute back into one of the original equations:
`x - 4(-4) = 17` which becomes
`x+16 = 17` and then
`x = 1`.

Your ordered pair is (1, -4).