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algebra system of equations

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solve

X^2 + Y^2 =70
Y= 2X + 5

  • algebra system of equations - ,

    since y = 2x+5,

    x^2+y^2 = 70
    x^2+(2x+5)^2 = 70
    x^2 + 4x^2+20x+25 = 70
    5x^2 + 20x + 25 = 70
    x^2 + 4x + 5 = 14
    x^2 + 4x - 9 = 0
    x = (-4±√52)/2 = -2±√13
    y = 1±2√13

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