Math

Solve the system of equations algebraically. Show all of your steps.
y=x^2+2x
y=3x+20

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  1. 3x + 20 = x^2 + 2x ... 0 = x^2 - x - 20 ... 0 = (x - 5)(x + 4) ... x = 5 , x = -4

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  2. Y = x^2 + 2x.
    Y = 3x + 20.
    In Eq1, replace Y with 3x + 20:
    3x + 20 = x^2 + 2x,
    x^2 + 2x - 3x -20 = 0,
    x^2 - x - 20 = 0.
    Solve the Eq by factoring.

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