Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.1 Systems of Linear Equations: Substitution and Elimination - 10.1 Assess Your Understanding - Page 735: 61

Answer

$\text{325 cost of smartphone, and 640 cost of tablet}$

Work Step by Step

Let us consider that $\text{x=cost of smartphone, and}$ $\text{y =cost of tablet}$ We are given: $340x+250y=270,500~~~~(1) $ and $x+y=965~~~~(2)$ Re-write equation (2) as: $y=965-x~~~~(3)$ We substitute equation (3) into equation (1): $340x+250(965−x)=270,500\\ 340x+241,250−250x=270,500 \\ 90x=29250 \\ x=325$ Now, back substitute the value of $x$ into Equation (3) to solve for $y$: $y=965-325=640$ Therefore, our desired results are: $\text{325 cost of smartphone, and 640 cost of tablet}$
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