Answer:
x = 7.8 and y = 6.6
Step-by-step explanation:
First, we need to solve the first equation for y:
x = 3y - 12
x + 12 = 3y
y = (x + 12)/3
y = x/3 + 4
Now we can substitute this expression for y into the second equation:
6x + 2(x/3 + 4) = 60
6x + 2x/3 + 8 = 60
18x + 2x + 24 = 180
20x + 24 = 180
20x = 156
x = 7.8
Now we can substitute this value of x back into the first equation to solve for y:
y = (7.8 + 12)/3
y = 19.8/3
y = 6.6
Therefore, the solution to the system of equations is x = 7.8 and y = 6.6.
