Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.5 - Systems of Nonlinear Equations in Two Variables - Exercise Set - Page 810: 3

Answer

$(x,y)=${$(1,1),(2,0)$}

Work Step by Step

Re-write the first equation as: $y=-x+2$ The second equation yields: $-x+2=x^2-4x+4$ or, $x^2-3x+2=0$ or, $(x-2)(x-1)=0$ or, $x=${$1,2$} From first equation when $x=1$, we have $y=1$ From first equation when $x=2$, we have $y=0$ Thus, solution set is $(x,y)=${$(1,1),(2,0)$}
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