Answer:
(2, - 1 )
Step-by-step explanation:
4x - 9y = 17 → (1)
6x - 5y = 17 → (2)
multiplying (1) by 6 and (2) by - 4 and adding will eliminate x
24x - 54y = 102 → (3)
- 24x + 20y = - 68 → (4)
add (3) and (4) term by term to eliminate x
0 - 34y = 34
- 34y = 34 ( divide both sides by - 34 )
y = - 1
substitute y = - 1 into either of the 2 equations and solve for x
substituting into (1)
4x - 9(- 1) = 17
4x + 9 = 17 ( subtract 9 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
solution is (2, - 1 )
