Answer:
(3, - 1)
Step-by-step explanation:
Given the 2 equations
2x - 3y = 9 → (1)
3x + 5y = 4 → (2)
Multiplying (1) by 5 and (2) by 3 will eliminate the term in y
10x - 15y = 45 → (3)
9x + 15y = 12 → (4)
Add (3) and (4) term by term
(10x + 9x) + (- 15y + 15y) = (45 + 12)
19x = 57 ( divide both sides by 19 )
x = 3
Substitute x = 3 into (1) or (2) to find corresponding value of y
(2) → 9 + 5y = 4 ( subtract 9 from both sides )
5y = - 5 ( divide both sides by 5 )
y = - 1
Solution is (3, - 1)
