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

Dec 7, 2016

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

#### Explanation:

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

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

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

Your ordered pair is (1, -4).