Solve the system using elimination.

3x - 4y = 9

-3x + 2y = 9

(-3, - 6)

(-9, - 9)

(-27, - 9)

(3, 9)

( - 9, - 9)

Step-by-step explanation:

Given the 2 equations

3x - 4y = 9 → (1)

- 3x + 2y = 9 → (2)

Adding (1) and (2) will eliminate the term in x

(1) + (2) term by term

(3x - 3x) + ( - 4y + 2y) = (9 + 9)

0 - 2y = 18

- 2y = 18 (divide both sides by - 2)

y = - 9

Substitute y = - 9 into (1) or (2) and evaluate for x

(1) → 3x + 36 = 9 (subtract 36 from both sides)

3x = - 27 (divide both sides by 3)

x = - 9

Solution is ( - 9, - 9)