Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises: 1

Answer

$y=8$

Work Step by Step

$4y+9=7y-15$ $4y+9-4y=7y-15-4y\longrightarrow$ subtract 4y from both sides $9=3y-15$ $9+15=3y-15+15\longrightarrow$ add 15 to both sides $24=3y$ $24\div3=3y\div3\longrightarrow$ divide both sides by 3 $8=y$ To check, substitute the value for y and see of the result is true. $4(8)+9=7(8)-15$ $32+9=56-15$ $41=41\checkmark$
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