use the subsitution method to solve the system x=y-4, x+8y=2
First, we'll substitute x from the first equation into the second equation.
x = y - 4
Substitute x = y - 4 into the second equation:
(y - 4) + 8y = 2
y - 4 + 8y = 2
9y - 4 = 2
9y = 6
y = 6 / 9
y = 2/3
Now, substitute y = 2/3 back into the first equation to find x:
x = (2/3) - 4
x = 2/3 - 12/3
x = -10/3
Therefore, the solution to the system of equations is x = -10/3 and y = 2/3.