Question

Given the system of equations:

6x + 2y = −6
3x − 4y = −18

Solve for (x, y) using elimination.

(0, −3)
(−1, 0)
(−2, 3)
(−14, −6)

Answer 1

(-2, 3)

Explanation:

Answer 2

(- 2, 3 )

Explanation:

6x + 2y = - 6 → (1)

3x - 4y = - 18 → (2)

multiplying (1) by 2 and adding to (2) will eliminate y

12x + 4y = - 12 → (3)

add (2) and (3( term by term to eliminate y

15x + 0 = - 30

15x = - 30 ( divide both sides by 15 )

x = - 2

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

substituting into (1)

6(- 2) + 2y = - 6

- 12 + 2y = - 6 ( add 12 to both sides )

2y = 6 ( divide both sides by 2 )

y = 3

solution is (- 2, 3 )