Find the solution to the system of equations.

x = - 4, y = 7

Step-by-step explanation:

Given the 2 equations

- 7x - 2y = 14 → (1)

6x + 6y = 18 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate the y- term

- 21x - 6y = 42 → (3)

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

- 15x = 60 ( divide both sides by 15 )

x = - 4

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

Substituting into (2)

6(- 4) + 6y = 18

- 24 + 6y = 18 ( add 24 to both sides )

6y = 42 ( divide both sides by 6 )

y = 7