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27 January, 19:13

Solve by the substitution method 9x+6y=0, - 9x+y=63

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  1. 27 January, 19:31
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    ( - 6, 9)

    Step-by-step explanation:

    Given the 2 equations

    9x + 6y = 0 → (1)

    - 9x + y = 63 → (2)

    To solve by substitution

    Rearrange (2) expressing y in terms of x by adding 9x to both sides

    y = 9x + 63 → (3)

    Substitute y = 9x + 63 into (1)

    9x + 6 (9x + 63) = 0 ← distribute and simplify left side

    9x + 54x + 378 = 0

    63x + 378 = 0 (subtract 378 from both sides)

    63x = - 378 (divide both sides by 63)

    x = - 6

    Substitute x = - 6 into (3) for corresponding value of y

    y = 9 ( - 6) + 63 = - 54 + 63 = 9

    Solution is ( - 6, 9)
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