Answer:
To solve this system for y, we will use elimination by multiplying the second equation by 9.
[tex]9x + 6y = 6\\9(-x - 3y = 11)\\\\9x + 6y = 6\\-9x - 27y = 99\\\\-21y = 105\\\\y = -5[/tex]
Now we will plug in what we got for y into one of the original equations to solve for x.
[tex]-x - 3(-5) = 11\\\\-x + 15 = 11\\\\-x = -4\\\\x = 4[/tex]
The solution for this system is (4, -5).
