The solution to the system of equations given can be found to be x = 10 and y = 18.
How to find the solution?
You can solve this system of equations by setting the two equations equal to each other since they both equal y:
y = x + 8
y = 3x - 12
Set them equal to each other:
x + 8 = 3x - 12
Isolate the variable x. First, subtract x from both sides:
8 = 2x - 12
20 = 2x
x = 20 / 2
x = 10
Use the first equation:
y = x + 8
y = 10 + 8
y = 18
So, the solution to the system of equations is x = 10 and y = 18.