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

Question

Responses

(−313,23)
left parenthesis negative 3 Start Fraction 1 over 3 End Fraction comma Start Fraction 2 over 3 End Fraction right parenthesis

(23,−313)
left parenthesis Start Fraction 2 over 3 End Fraction comma negative 3 Start Fraction 1 over 3 End Fraction right parenthesis

infinite solutions
infinite solutions

no solution

Answer 1

Using the substitution method, we can substitute y-4 for x in the second equation:

(y-4) + 8y = 2
9y - 4 = 2
9y = 6
y = 2/3

Now, substitute y = 2/3 back into the first equation:

x = (2/3) - 4
x = -10/3

Therefore, the solution is x = -10/3 and y = 2/3, which in fraction form is (-3 1/3, 2/3).

So the correct response is: left parenthesis negative 3 Start Fraction 1 over 3 End Fraction comma Start Fraction 2 over 3 End Fraction right parenthesis