ANSWER
x = 3, y = -11
EXPLANATION
We want to find the solution to the system of equations by finding when they are equal to one another.
The equations are:
y = -6x + 7
y = 13 - 8x
Now, we equate both of them:
-6x + 7 = 13 - 8x
Collect like terms:
-6x + 8x = 13 - 7
2x = 6
Divide through by 2:
x = 6 / 2
x = 3
From the first equation:
y = -6x + 7
Put the known value of x into the equation:
y = -6(3) + 7
y = -18 + 7
y = -11
Therefore, the equations are equal to each other when x = 3 and y = -11.
