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algebra solve simultaneous?

y^2 = 2x +29

y = x - 3

square x-3 ??? first step . thanks .

5 Answers

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  • 8 years ago
    Favorite Answer

    y^2 = 2x +29

    y = x - 3

    Substitute y = x - 3 into first equation

    (x-3)^2 = 2x +29

    x^2 - 8x -20 = 0

    (x - 10)(x + 2) = 0

    x = 10 then y = 7

    x = -2 then y = -5

    (10, 7)

    (-2, -5)

  • 8 years ago

    The second Equation gives you the value of y.

    Substitute it in the first equation and you'll get the answer.

    (x - 3)^2 = 2x + 29

    x^2 + 9 - 6x = 2x + 29

    x^2 - 8x - 20 = 0

    Now factorise .

    x^2 - 10x + 2x -20 = 0

    x( x - 10) + 2( x - 10) = 0

    x + 2 = 0 & x - 10 = 0

    x = 10 & x = -2

  • 8 years ago

    put value of y from 2 in to 1

    (x-3)^=2x+29

    x^2-6x+9-2x-29=0

    x^2-8x-20=0

    (x-10)(x+2)=0

    x=10,x=-2 x=10 y=7 x=-2 y=-5

  • Como
    Lv 7
    8 years ago

    x^2 - 6x + 9 = 2x + 29

    x^2 - 8x - 20 = 0

    (x - 10)(x + 2) = 0

    x = 10 , x = - 2

    y = 7 , y = - 5

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  • 8 years ago

    yes, that is one way to start the problem and probably the best/most obvious

    Source(s): various lessons in high school
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