Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 4 - Review Exercises: 18

Answer

{(1,-4)}

Work Step by Step

5y-x=-21 5y-5y-x=-5y-21 -x=-5y-21 -1(-x)=-1(-5y-21) x=5y+21 Plug this value for x into the other equation 3x+4y=-13 3(5y+21)+4y=-13 15y+63+4y=-13 15y+4y+63=-13 19y+63=-13 19y+63-63=-13-63 19y=-76 y=-$\frac{76}{19}$ y=-4 Plug this value for y into the first equation to find x. x=5y+21 x=5(-4)+21 x=-20+21 x=1 Therefore the solution is {(1,-4)}
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