Answer:
x = (2/5); y = (-2/5)
Step-by-step explanation:
x + y = 0
13x + 8y = 2
Multiply so the "x" variables are opposite with the same absolute value.
(-13) x + y = 0 (-13) ⇒ -13x - 13y = 0
(1) 13x + 8y = 2 (1) ⇒ 13x + 8y = 2
Add the two equations.
(13x - 13x) + (8y - 13y) = (2 - 0)
-5y = 2
Divide both sides by -5
y = [tex]-\frac{2}{5}[/tex]
Plug the value of "y" into either equations.
x + [tex](-\frac{2}{5})[/tex] = 0
Add [tex]\frac{2}{5}[/tex] to both sides.
x = [tex]\frac{2}{5}[/tex]
