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12 December, 19:31

2x - 3y = 13 x + 2y = - 4

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Answers (1)
  1. 12 December, 22:29
    0
    (2, - 3)

    Step-by-step explanation:

    Given the 2 equations

    2x - 3y = 13 → (1)

    x + 2y = - 4 → (2)

    Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

    x = - 4 - 2y → (3)

    Substitute x = - 4 - 2y into (1)

    2 ( - 4 - 2y) - 3y = 13 ← distribute and simplify left side

    - 8 - 4y - 3y = 13

    - 8 - 7y = 13 (add 8 to both sides)

    - 7y = 21 (divide both sides by - 7)

    y = - 3

    Substitute y = - 3 into (3) for corresponding value of x

    x = - 4 - 2 ( - 3) = - 4 + 6 = 2

    Solution is (2, - 3)
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