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22 February, 20:25

X + 2y = 5

3x + 5y = 14

Solve the system of equations.

(3,1)

(7, - 1)

(2, 3/2)

+2
Answers (1)
  1. 22 February, 20:35
    0
    (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)
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