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math

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x-3y=1
x2-2xy+9y2=17 solve simalteneously

  • math -

    from the 1st ----> x = 3y+1
    (3y+1)^2 - 2y(3y+1) + 9y^2 = 17
    9y^2 + 6y + 1 - 6y^2 - 2y + 9y^2 = 17
    12y^2 + 4y -16 = 0
    3y^2 + y - 4 = 0
    (3y + 4)(y - 1) = 0
    y = -4/3 or y = 1

    if x = -4/3, y = 3(-4/3) + 1 = -3
    if x = 1 , y = 3(1) + 1 = 4

    btw, it is "simultaneously"

  • correction - math -

    You probably figured it out yourself by at the end it should have said ...


    if y = -4/3, x = 3(-4/3) + 1 = -3
    if y = 1 , x = 3(1) + 1 = 4

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