Answer :

Answer:

x = - 3 , y = - 1

Step-by-step explanation:

given the system of equations

- 7x - 7y = 28 → (1)

2x - 7y = 1 → (2)

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

7x + 7y = - 28 → (3)

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

(2x + 7x ) + (- 7y + 7y ) = 1 - 28

9x + 0 = - 27

9x = - 27 ( divide both sides by 9 )

x = - 3

substitute x = - 3 into either of the 2 original equations and solve for y

substituting into (2)

2(- 3) - 7y = 1

- 6 - 7y = 1 ( add 6 to both sides )

- 7y = 7 ( divide both sides by - 7 )

y = - 1

The solution is x = - 3 , y = - 1