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14 January, 23:16

Solve each system of equations by substitution or elimination.

y=x^2-2x-1

y=-x^2-2x-1

Show all steps and explain what method you chose.

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  1. 14 January, 23:37
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    x = 0, y = - 1.

    Step-by-step explanation:

    y = x^2 - 2x - 1

    y = - x^2 - 2x - 1

    Use elimination:

    Subtract the 2 equations:

    0 = x^2 - (-x^2) - 2x - (-2x) - 1 - (-1)

    Simplifying:

    0 = x^2 + x^2 - 2x + 2x - 1 + 1

    0 = 2x^2

    x = 0.

    Substitute this into the first equation:

    y = 0^2 - 2 (0) - 1

    y = - 1.
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