Solve the system of equations

Question

-9x + y = 12
2x + 4y = -28

Answer 1

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

Let's first solve the first equation for y:

y = 9x + 12

Now, substitute this value of y into the second equation:

2x + 4(9x + 12) = -28
2x + 36x + 48 = -28
38x + 48 = -28
38x = -76
x = -2

Now, substitute x = -2 back into the first equation to solve for y:

-9(-2) + y = 12
18 + y = 12
y = 12 - 18
y = -6

Therefore, the solution to the system of equations is x = -2 and y = -6.