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March 30, 2017

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Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.)

4x^2− 27y^3 = 35
8x^2+54y^3= 74

  • precalculus - ,

    divide the second equation by 2
    and the two equations are
    4x^2 − 27y^3 = 35
    4x^2 + 27y^3 = 37
    --------------------- add
    8 x^2 = 72
    x^2 = 9
    x = +/- 3

    if x = + 3

    36 -27 y^3 =35
    -27 y^3 = -1
    y^3 = 1/27
    y = 1/3
    so (3,1/3) would be a solution

    same solution for y

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