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solve for x and y in the following system of equations. y=3x^2+8x-10 & y=x^2+7x+5

how do you do this ?

  • algebra -

    It would be the same way as you would do for linear simultaneous equations:
    eliminate one of the variables. In this case, y is easy to eliminate.
    3x^2+8x-10 = y = x^2+7x+5
    Solve the resulting quadratic equation to get x=5/2 or x=-3.

    As a check, substitute each of these values into the original equations to see if the values of y are equal.

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