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23 March, 02:36

How to solve by Substitution these nu

mbers x-6y=15 and 6x+5y=8

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Answers (1)
  1. 23 March, 06:31
    0
    (3, - 2)

    Step-by-step explanation:

    Given the 2 equations

    x - 6y = 15 → (1)

    6x + 5y = 8 → (2)

    Rearrange (1) expressing x in terms of y by adding 6y to both sides

    x = 15 + 6y → (3)

    Substitute x = 15 + 6y into (2)

    6 (15 + 6y) + 5y = 8 ← distribute and simplify left side

    90 + 36y + 5y = 8

    90 + 41y = 8 (subtract 90 from both sides)

    41y = - 82 (divide both sides by 41)

    y = - 2

    Substitute y = - 2 into (3) for corresponding value of x

    x = 15 + 6 ( - 2) = 15 - 12 = 3

    Solution is (3, - 2)
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