Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - Connecting: The Concepts - Exercises - Page 516: 5


$(1,-\displaystyle \frac{1}{19})$

Work Step by Step

The equations are in standard form. The coefficients of y are $\pm 19$, which makes y easy to eliminate by adding ... we use the elimination method. Add the equations: $ 20x=20\qquad$ ... and solve for x $x=1$ Now, back-substitute into one of the initial equations $8x+19y=7$ $8(1)+19y=7$ $ 8+y=7\qquad$ ... subtract 8 $ 19y=-1\qquad$ ... divide with 19 $y=-\displaystyle \frac{1}{19}$ Form an ordered pair $(x,y) $ as the solution to the system $(1,-\displaystyle \frac{1}{19})$
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