Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises: 27

Answer

The portraits are 12 dollars each. The wallet-sized are 7 dollars each.

Work Step by Step

Make two equations using the information:2x+4y=52 and 3x+2y=50. X are portraits and y are wallet-sized. Multiply the second equation by -2 in order to eliminate the y-variable: -2(3x+2y=50) -6-4y=-100 Combine the two equations: 2x+4y=52 -6x-4y=-100 -4x=-48 x=12 Plug in x=12 into one of the equations: 3(12)+2y=50 36+2y=50 2y=14 y=7 Check your work: 2(12)+4(7)=52 24+28=52 52=52 So, the portraits are 12 dollars each and the wallet-sized are 7 dollars each.
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