Question

X + 2y = 5

3x + 5y = 14
Solve the system of equations.
(3,1)
(7, -1)
(2, 3/2)

Answer 1

(3, 1 )

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 )