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how do you solve the sytem of equations for y=2x-3 and y=x^2-2x-8

Algebraalgebra
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how do you solve the sytem of equations for y=2x-3 and y=x^2-2x-8

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setting both equations are equal to each other

     2x-3=x^2-2x-8

     x^2-4x-5=0

rewrite the above equation as

     x^2-5x+x-5=0

    x(x-5)+1(x-5)=0

    (x+1)(x-5)=0

either x+1=0 or x-5=0

x=-1 or x=5

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