Solve the system of equations y= -x + 2 y= x^2-6+8

Question

Solve the system of equations y= -x + 2 y= x^2-6+8

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Reagan 2 weeks 2021-09-11T07:59:08+00:00 1 Answer 0

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    2021-09-11T08:01:01+00:00

    Answer: x=6 and y = -4 and x= -1 and y=3

    Step-by-step explanation:

    Your two equations are y = -x + 2

    and y=x^2 -6x + 8

    Subsituting y=-x+2, we get

    -x + 2 = x^2 -6x + 8

    x^2 -5x +6 = 0

    Solving by the quadratic formula gives,

    (5+/- sqrt(25+24))/2

    Thus, the two solutions are 6, and -1.

    So x=6

    y= -4 and

    x=-1

    y= 3

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