HELP
8.
Which ordered pair is the solution of the following
system of equations?
3x + 2y = 4
–2x + 2y = 24
A. (2, -1)
B. (2,-5)
C. (-4,8)
D. (-4,-8)

Respuesta :

Answer:

C

Step-by-step explanation:

Given the 2 equations

3x + 2y = 4 → (1)

- 2x + 2y = 24 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the y- term

2x - 2y = - 24 → (3)

Add (1) and (3) term by term to eliminate y

5x + 0 = - 20

5x = - 20 ( divide both sides by 5 )

x = - 4

Substitute x = - 4 into either of the 2 equations and solve for y

Substituting into (1)

3(- 4) + 2y = 4

- 12 + 2y = 4 ( add 12 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8

solution is (- 4, 8 ) → C