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

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Answer 1 · 2016-12-07T21:43:40

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

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).

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