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18 January, 23:33

Solve the system y = - x + 7 and y = 0.5 (x - 3) 2

explain the answer

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Answers (1)
  1. 19 January, 01:14
    0
    x=5, x=-1

    Step-by-step explanation:

    Since both equations are equal to y, we can set them equal to each other

    y = - x + 7 and y = 0.5 (x - 3) 2

    -x + 7 = 0.5 (x - 3) ^2

    Distribute the right hand side by Foiling

    -x+7 =.5 (x^2 - 3x-3x+9)

    Combine like terms

    -x+7 =.5 (x^2 - 6x+9)

    Distribute the. 5

    -x+7 =.5x^2 - 3x+4.5

    Add x to each side

    -x+x+7 =.5x^2 - 3x+x+4.5

    7 =.5x^2 - 2x+4.5

    Subtract 7 from each side

    7 - 7=.5x^2 - 2x+4.5-7

    0 =.5x^2 - 2x-2.5

    Multiply by 2 to clear the decimals

    0 = x^2 - 4x - 5

    Factor

    0 = (x-5) (x+1)

    Using the zero product property

    x-5=0 x+1 = 0

    x=5, x=-1
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