Solve the system of equations.

- 9x + y = 12
2x + 4y = -28 (1 point)

1 answer

To solve this system of equations, we will use the substitution method:

From the first equation, isolate y:
y = 12 - 9x

Now substitute this value of y into the second equation:
2x + 4(12 - 9x) = -28
2x + 48 - 36x = -28
-34x + 48 = -28
-34x = -76
x = 76/34
x = 2

Now that we have found the value of x, we can substitute it back into either of the original equations to find y. Let's use the first equation:
-9(2) + y = 12
-18 + y = 12
y = 12 + 18
y = 30

Therefore, the solution to the system of equations is x = 2 and y = 30.