Answer:
(5, 6 )
Explanation:
5x - 8y = - 23 → (1)
- 10x + 11y = 16 → (2)
multiplying (1) by 2 and adding to (2) will eliminate x
10x - 16y = - 46 → (3)
add (2) and (3) term by term to eliminate x
0 - 5y = - 30
- 5y = - 30 ( divide both sides by - 5 )
y = 6
substitute y = 6 into either of the 2 equations and solve for y
substituting into (1)
5x - 8(6) = - 23
5x - 48 = - 23 ( add 48 to both sides )
5x = 25 ( divide both sides by 5 )
x = 5
solution is (5, 6 )