Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Exercise Set: 41

Answer

$(-0.5, 2.5)$

Work Step by Step

$0.02x+0.04y=0.09$ $-0.1x+0.3y=0.8$ Multiply the first equation by 100 and the second equation by 10. $2x+4y=9$ $-x+3y=8$ Multiply the second equation by 2. $2x+4y=9$ $-2x+6y=16$ Add both equations. $10y=25$ $y=2.5$ Solve for $x$. $2x+4y=9$ $2x+4(2.5)=9$ $2x+10=9$ $2x=-1$ $x=-0.5$ $x=-0.5; y=2.5$ $(-0.5, 2.5)$
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