Answer:
x = 8, y = 5
Explanation:
given the system of equations
- 6x + 5y = - 23 → (1) both sides by - 16 )
2x - 7y = - 19 → (2)
multiplying (2) by 3 and adding the result to (1) will eliminate x
6x - 21y = - 57 → (3)
add (1) and (3) term by term to eliminate x
(- 6x + 6x) + (5y - 21y) = - 23 - 57
0 - 16y = - 80
- 16y = - 80 ( divide both sides by - 16 )
y = 5
substitute y = 5 into either of the 2 original equations and solve for x
substituting into (1)
- 6x + 5(5) = - 23
- 6x + 25 = - 23 ( subtract 25 from both sides )
- 6x = - 48 ( divide both sides by - 6 )
x = 8
solution is x = 8 , y = 5