Use the substitution method to solve the system x=y−4, x+8y=2
First, we'll use the first equation to substitute for x in the second equation:
y-4 + 8y = 2
Combining like terms:
9y - 4 = 2
Adding 4 to both sides:
9y = 6
Dividing by 9:
y = 2/3
Now that we have found the value of y, we can substitute it back into the first equation to solve for x:
x = 2/3 - 4
x = -11/3
Therefore, the solution to the system of equations is x = -11/3 and y = 2/3.