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
