Solve using elimination.

10x + 6y = - 2

2x + 6y = - 10

(1, - 2)

Step-by-step explanation:

Given the 2 equations

10x + 6y = - 2 → (1)

2x + 6y = - 10 → (2)

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

- 2x - 6y = 10 → (3)

Add (1) and (3) term by term

(10x - 2x) + (6y - 6y) = ( - 2 + 10), that is

8x = 8 (divide both sides by 8)

x = 1

Substitute x = 1 into either of the 2 equations.

Substituting x = 1 into (1)

10 (1) + 6y = - 2

10 + 6y = - 2 (subtract 10 from both sides)

6y = - 12 (divide both sides by 6)

y = - 2

Solution is (1, - 2)