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Solve the system of equations

Negative 9X plus Y equals 12
2X plus 4Y equals -28

1 answer

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

From the first equation, we can isolate Y:

Y = 9X + 12

Now substitute the expression for Y into the second equation:

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

Now substitute X back 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
Y = -6