Use the substitution method to solve the system x=y−4 , x+8y=2 .(1 point)

Answer 1

From the first equation, we have x = y - 4. We can substitute this expression for x in the second equation:

(y - 4) + 8y = 2

Combining like terms:

9y - 4 = 2

Adding 4 to both sides:

9y = 6

Dividing both sides by 9:

y = 6/9

Simplifying the fraction:

y = 2/3

Now, we can substitute this value of y back into the first equation to find x:

x = (2/3) - 4

x = -10/3

Therefore, the solution to the system of equations is x = -10/3 and y = 2/3.