Answer:
(3, 1 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 5 → (1)
3x + 5y = 14 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 5 - 2y → (3)
Substitute x = 5 - 2y in (2)
3(5 - 2y) + 5y = 14 ← distribute and simplify left side
15 - 6y + 5y = 14
15 - y = 14 ( subtract 15 from both sides )
- y = - 1 ( multiply both sides by - 1 )
y = 1
Substitute y = 1 into (3) and evaluate for x
x = 5 - (2 × 1) = 5 - 2 = 3
Solution is (3, 1 )
