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 556: 63

Answer

Smartphone costs ${{\$}} 325$ Tablet costs ${{\$}} 640$

Work Step by Step

Let $x = $ cost of smartphone, $y = $ cost of tablet. Given: $\left\{\begin{array}{llll} 340x+250y=270,500 & ... preorders & & (1)\\ x+y=965 & \Rightarrow & y=965-x & (2) \end{array}\right.$ Substitute y into (1) $340x+250(965-x)=270,500$ $340x+241,250-250x==270,500$ $90x=29250$ $x=325$ Back-substitute into (2) $y=965-325=640$
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