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: 4



Work Step by Step

Re-write the first equation as: $y=-2x-5$ The second equation yields: $-2x-5=x^2+6x+7$ or, $x^2+8x+12=0$ or, $(x+6)(x+2)=0$ or, $x=${$-6,-2$} From first equation when $x=-6$, we have $y=7$ From first equation when $x=-2$, we have $y=-1$ Thus, solution set is $(x,y)=${$(-6,7),(-2,-1)$}
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