what is the solution to x+4y=10 3x+12y=20 brainly

Question

what is the solution to x+4y=10 3x+12y=20 brainly

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Jade 3 days 2021-11-25T04:52:50+00:00 1 Answer 0

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    2021-11-25T04:54:24+00:00

    Answer:

    The system has no solution.

    Step-by-step explanation:

    We have two equations:

    1st:  x+4y=10

    2nd: 3x+12y=20

    Write the two equations in slope-intercept form:

    First equation:

    4y=-x+10

    y=-\frac{1}{4}x+\frac{5}{2}

    Second equation:

    3x+12y=20

    12y=-3x+20

    Divide through by 12

    y=-\frac{1}{4}x+\frac{5}{3}

    The two equations have the same slope but different y-intercepts.

    The two equations are parallel and will never meet.

    Therefore the system has no solution.

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