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6 July, 02:09

What are the solutions of the system?

{y=-6x-6y=x2-5x-6

(0, - 1) and (-6, 0)

(-1, 0) and (-6, 0)

(-1, 0) and (0, - 6)

(0, - 1) and (0, - 6)

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  1. 6 July, 04:30
    0
    We have the following system of equations:

    y = - 6x-6

    y = x2-5x-6

    Matching we have:

    x2-5x-6 = - 6x-6

    Rewriting we have:

    x2-5x-6 + 6x + 6 = 0

    x2 + x = 0

    Rewriting:

    x (x + 1) = 0

    The solutions are:

    x = 0

    x = - 1

    For x = 0

    y = - 6 (0) - 6 = 0-6 = - 6

    y = - 6

    For x = - 1

    y = - 6 (-1) - 6 = 6-6 = 0

    y = 0

    The solutions are:

    (x, y) = (0, - 6)

    (x, y) = ( - 1, 0)

    Answer:

    The solutions of the system are:

    (-1, 0) and (0, - 6)
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