Solve the following system of equations using the substitution method. x = 2y + 11

7x + 2y = 13

Question 7 options:

A)

(-3,4)

B)

(3,-6)

C)

(3,6)

D)

(3,-4)

The correct answer would be D, (3,-4). For the first equation, x=2y+11 would be 3=2 (-4) + 11 which turns to 3=-8+11 which equals 3=3 so it's true. For the second equation, 7x+2y=13 which becomes 7 (3) + 2 (-4) = 13 making it 21-8=13 which turns into 13=13 so this is true as well.