ANSWER
x = 1/2
y = 12 1/2
Step-by-step explanation
We have to solve the system of equations algebraically:
y = x + 12
4x + 2y = 27
We can solve this using substitution method. Substitute the first equation into the second equation:
4x + 2(x + 12) = 27
4x + 2x + 24 = 27
6x = 27 - 24
6x = 3
Divide through by 6:
x = 3 / 6
x = 1/2
Recall that:
y = x + 12
=> y = 1/2 + 12
y = 12 1/2
That is the solution of the system of equations.