Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 10 - Review - Exercises - Page 770: 1

Answer

$(2,1)$

Work Step by Step

The y-coefficents are $+1$ and $-1$. Add the equations ( eliminate y) $5x=10 \quad/\div 5$ $x=2$ Back substitute into one of the equations $ 2x+y-5$ $2(2)+y=5$ $y=5-4$ $y=1$ Solution: $(2,1)$ Graphing: plot the x-and y-intercepts, join with line. $\left[\begin{array}{llll} & x=0 & y=0 & plot\\ 3x-y=5 & y=-5 & x=5/3 & (0,-5),(5/3,0)\\ & & & \\ 2x+y=5 & y=5 & x=5/2 & (0,5),(5/2,0)\\ & & & \end{array}\right]$
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