Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.1 - Systems of Linear Equations in Two Variables - 10.1 Exercises - Page 689: 53

Answer

$(61.00, 20.00)$

Work Step by Step

Given system is- $2371x -6552 y$ = $13591$ __ eq.1 $9815x +992 y$ = $618555$ __ eq.2 Solving eq.1 for 'y'- $6552 y$ = $2371 x-13591$ i.e. $ y$ = $\frac{2371}{6552}x-\frac{13591}{6552}$ i.e. $ y$ = $0.36x - 2.07$ __ eq.3 Solving eq.2 for 'y'- $992 y$ = $618555-9815x$ i.e. $ y$ = $\frac{618555}{992}-\frac{9815}{992}x$ i.e. $ y$ = $623.54 - 9.89 x$ __ eq.4 Graphing eq.3 and eq.4 we get intersecting lines. Hence using Intersect we get- $x$= $61.00$ and $y$= $20.00$ i.e. $(61.00, 20.00)$ is the solution of system.
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