Answer:
(1.5, - 0.5 )
Step-by-step explanation:
Given the 2 equations
2x + 4y = 1 → (1)
3x - 5y = 7 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding will eliminate the x- term
6x + 12y = 3 → (3)
- 6x + 10y = - 14 → (4)
Add (3) and (4) term by term to eliminate x
22y = - 11 ( divide both sides by 22 )
y = - 0.5
Substitute y = - 0.5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 4(- 0.5) = 1
2x - 2 = 1 ( add 2 to both sides )
2x = 3 ( divide both sides by 2 )
x = 1.5
Solution is (1.5, - 0.5 )