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 - 6-4 Applications of Linear Systems - Practice and Problem-Solving Exercises - Page 390: 9


The solution to the system is $(950, 550)$.

Work Step by Step

Let x = account A and let y = account B. $x+y=1500$ $0.05x + 0.04y =69.5$ The system is easy to solve using substitution. Substitute $x=1500 - y$ for $x$ in the second equation and solve for $y$. $0.05(1500-y) + 0.04y =69.5$ $75-0.01y=69.5$ $y=550$ $\rightarrow x=950$ The solution to the system is $(950, 550)$
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