Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 3 - Linear Systems - 3-1 Solving Systems Using Tables and Graphs - Lesson Check - Page 138: 3

Answer

$2$ pens and $4$ pencils

Work Step by Step

If we let x equal the number of pens and y equal the number of pencils, we can set up the system of equations $x+y=6$ and $1(x)+0.5(y)=4$. Now we can subtract the second equation from the first to get $0.5y=2$, so $y=4$. We can see that $x=2$, so there must be $2$ pens and $4$ pencils.
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