Question

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.

8x − y = −9
4x − 3y = −22

Answer 1

From 8x - y = - 9 you get y = 8x + 9

Substitution in 4x - 3y = -22

4x - 3(8x + 9) = -22 ---- This is the new equation requested

Expanding

4x - 24x - 27 = -22

- 20x = - 22 + 27

- 20x = 5

x = - 5/20

x = - 1/4