Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - Chapter Review - 6-3 and 6-4 Solving Systems Using Elimination; Applications of Systems - Page 406: 25

Answer

$3x+3y = 195$ $4x+7y = 390$ $x = 25$ minutes (small centerpiece) $y = 40$ minutes (large centerpiece)

Work Step by Step

$3x+3y = 195$ $4x+7y = 380$ x = small, y = large $3x+3y = 195$ $-4*(3x+3y = 195)$ $-12x-12y = -780$ $4x+7y = 380$ $3*(4x+7y = 380)$ $12x + 21y = 1140$ $-12x-12y +12x + 21y= 1140-780$ $9y = 360$ $9y/9 =360/9$ $y = 40$ $3x+3y = 195$ $3x+3*40 = 195$ $3x+120 = 195$ $3x+120-120 = 195-120$ $3x = 73$ $3x/3 = 75/3$ $x = 25$
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