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25 November, 00:26

Which of these is a solution to the system of equations 3x - y = 15 and 6x - 2y = 30?

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  1. 25 November, 00:36
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    Solve for y in 3x - y = 15

    Solve for y

    3x - y = 15

    Subtract 3x from both sides

    -y = 15 - 3x

    Multiply both sides by - 1

    y = - 15 + 3x

    Regroup terms

    y = 3x - 15

    Now, substitute y = 3x - 15 into 6x - 2y = 30

    Start with the original equation

    6x - 2y = 30

    Let y = 3x - 15

    6x - 2 (3x - 15) = 30

    Simplify

    30 = 30

    Since 30 = 30 is redundant information, this is a dependent system.

    There are Infinitely Many Solutions.
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