X + 2y = 5

3x + 5y = 14

Solve the system of equations.

(3,1)

(7, - 1)

(2, 3/2)

(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)