solve the system of the equation

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 use the substitution method:

First, isolate y in the first equation:

-9x + y = 12
y = 9x + 12

Now, substitute this expression for y into the second equation:

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

Now, substitute the value of x into the expression for y:

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

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