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27 August, 17:17

What is the solution set of this system of equations? y=x2-7 y=-x+5 The solution set of a system of equations is the set of all values that satisfy all the equations

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  1. 27 August, 18:45
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    The answer to your question is (-4, 9) and (3, 2)

    Step-by-step explanation:

    Data

    Equation 1 y = x² - 7

    Equation 2 y = - x + 5

    Process

    1. - Substitute Equation 2 in equation 1

    -x + 5 = x² - 7

    2. - Equal to zero

    x² + x - 7 - 5 = 0

    x² + x - 12 = 0

    3. - Factor to find x

    (x + 4) (x - 3) = 0

    x₁ + 4 = 0 x₂ - 3 = 0

    x₁ = - 4 x₂ = 3

    4. - Substitute x₁ and x₂ to find y

    y = - x + 5 x₁ = - 4

    y = - (-4) + 5

    y = 4 + 5

    y = 9 Solution (-4, 9)

    y = - x + 5 x₂ = 3

    y = - 3 + 5

    y = 2 Solution (3, 2)
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