College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding - Page 557: 69

Answer

$9.96$ dollars

Work Step by Step

$x$ = cost of a package of bacon $y$ = cost of a carton of eggs $3x + 2y = 13.45$ $2x + 3y = 11.45$ To eliminate y we multiply the first equation by 3 and the second one by -2 $9x + 6y = 40.35$ $-4x - 6y = -22.90$ $9x + (-4x) = 40.35 - 22.90$ $5x = 17.45$ $x=3.49$ $3 \times 3.49 + 2y = 13.45$ $10.47 + 2y = 13.45$ $2y = 13.45 - 10.47$ $2y = 2.98$ $y = 1.49$ $x=3.49$ $y=1.49$ $2 \times 3.49 + 2 \times 1.49 = 6.98 + 2.98 = 9.96$
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