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7 March, 00:49

Find a pair of numbers that is a member of both - 1y-1x=3 and - 6x-5y=24

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  1. 7 March, 02:06
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    The value of y is equal to 6, and the value of x is equal to - 9

    Okay, so this is known as a system of equations.

    Also, putting a 1 in front of a variable is unnecessary, as that is a given.

    -y - x = 3

    -6x - 5y = 24

    In the first equation, add x to both sides.

    -y = 3 + x

    Multiply all terms by - 1.

    y = - 3 - x

    Now that we have a value of y we can plug it into the second equation to solve for x.

    -6x - 5 (-3 - x) = 24

    Distributive property.

    -6x + 15 + 5x = 24

    Combine like terms.

    -x + 15 = 24

    Multiply all terms by - 1.

    x - 15 = - 24

    Add 15 to both sides.

    x = - 9

    Now that we have a value for x, we can plug it into the first equation to solve for y.

    y = - 3 - (-9)

    y = - 3 + 9

    y = 6
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