–9x − 6y = 9

x + y = –3

To solve this system of equations, we can use the method of substitution.

Let's solve the second equation for x:

x = -3 - y

Now substitute this value into the first equation:

-9(-3 - y) - 6y = 9

27 + 9y - 6y = 9

3y = 9 - 27

3y = -18

y = -6

Now substitute this value back into the second equation to find x:

x + (-6) = -3

x - 6 = -3

x = -3 + 6

x = 3

Therefore, the solution to the system of equations is x = 3 and y = -6.