Use the substitution method to solve the system x=y−4, x+8y=2.
First, we solve the first equation for x:
x = y - 4
Next, we substitute this expression for x in the second equation:
(y - 4) + 8y = 2
Simplifying, we get:
9y - 4 = 2
Adding 4 to both sides, we have:
9y = 6
Dividing both sides by 9, we get:
y = 2/3
Now that we have the value of y, we can substitute it back into the first equation to solve for x:
x = (2/3) - 4
x = -10/3
Therefore, the solution to the system of equations is x = -10/3 and y = 2/3.