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 Amsco Integrated Algebra I: Algebraic Solution of a Quadratic Linear System
This is a free lesson from our course in Amsco's Integrated Algebra
 
   
This lesson explains how to find algebric solution of a quadratic linear system. A quadratic-linear system consists of quadratic equation of form y = ax²+ bx + c and linear equation of form y = mx + b. The algebric method of substitution can be used for a quadratic-linear system. For example: Solve y=x²-4x+3 & 2y=x+2.
2y=x+2
2(x²-4x+3)=x+2
2x²-8x+6=x+2
2x²-8x+6-x-2=x+2-x-2
2x²-9x+4=0
(2x-1)(x-4)=0
x=1/2, x=4.
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