Answer:
Solution is (9,-36)
Step-by-step explanation:
we are given system of equation as
[tex]y=-3x-9[/tex]
[tex]y=\frac{1}{3}x-39[/tex]
Since, we have to solve for x
so, we can set them equal and then we can solve for x
[tex]-3x-9=\frac{1}{3}x-39[/tex]
Add both sides by 9
[tex]-3x-9+9=\frac{1}{3}x-39+9[/tex]
[tex]-3x=\frac{1}{3}x-30[/tex]
[tex]-3x-\frac{1}{3}x=\frac{1}{3}x-30-\frac{1}{3}x[/tex]
[tex]-\frac{10}{3}x=-30[/tex]
[tex]x=9[/tex]
now, we can find y
[tex]y=-3\times 9-9[/tex]
[tex]y=-27-9[/tex]
[tex]y=-36[/tex]
So,
Solution is (9,-36)
