solve the system of equations for x and y
{ x^2 - 11x -y =-24
x^2 - 11x + y = -24

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  1. add the two equations and y drops out:

    2x^2-22x = -48

    x^2-11x+24 = 0
    (x-3)(x-8) = 0

    Now just find the y for each x.

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  2. if you add both the equations you will get an equation 2(x^2-11x=-24)
    solving this equation
    x=8 or 3
    on solving this equation with values of x we get y=0

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