Use the substitution method to solve the system x=y−4 , x+8y=2 .(1 point) Responses no solution no solution (−313,23) left parenthesis negative 3 Start Fraction 1 over 3 End Fraction comma Start Fraction 2 over 3 End Fraction right parenthesis infinite solutions infinite solutions (23,−313)
We can solve the first equation for x:
x = y - 4
Substituting this expression for x into the second equation, we have:
(y - 4) + 8y = 2
Simplifying the equation:
9y - 4 = 2
Adding 4 to both sides:
9y = 6
Dividing both sides by 9:
y = 2/3
Now substitute this value for y back into the first equation to solve for x:
x = (2/3) - 4
x = -10/3
So the solution to the system is (x, y) = (-10/3, 2/3).
Therefore, the answer is: (-10/3, 2/3)