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17 May, 02:20

What is the value of y in the solution to the following system kid equations 5x-3y=-11 2x-6y=-14

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  1. 17 May, 02:39
    0
    y = 2

    Step-by-step explanation:

    given the 2 equations

    5x - 3y = - 11 → (1)

    2x - 6y = - 14 → (2)

    multiply (1) by - 2, to eliminate the term in y

    - 10x + 6y = 22 → (3)

    add (2) and (3) term by term

    (2x - 10x) + ( - 6y + 6y) = ( - 14 + 22)

    - 8x = 8 (divide both sides by - 8)

    x = - 1

    substitute x = - 1 into either (1) or (2) and solve for y

    (1) : - 5 - 3y = - 11 (add 5 to both sides)

    - 3y = - 6 (divide both sides by - 3)

    y = 2

    solution is ( - 1, 2)
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