solve the system of equations: -9x+y=12 , 2x+4y=-28

Answer 1

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

Given equations:
1. -9x + y = 12
2. 2x + 4y = -28

We will multiply equation 1 by 4 and equation 2 by 1 to make the coefficients of y equal and opposite:

1. -36x + 4y = 48
2. 2x + 4y = -28

Now, subtract equation 2 from equation 1 to eliminate y:

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

Now substitute the value of x back into equation 2 to solve for y:

2(-2) + 4y = -28
-4 + 4y = -28
4y = -24
y = -6

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