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 - 8.1 Systems of Equations in Two Variables - 8.1 Exercise Set - Page 507: 19

Answer

$(2,-1)$

Work Step by Step

For each equation find two points, plot them and join with line. $3x+y=5 \Rightarrow y=-3x+5 \rightarrow\left[\begin{array}{l} (0,5)\\ (1,2) \end{array}\right]$ $x-2y=4 \Rightarrow \left[\begin{array}{llll} x=0 & \Rightarrow y=-2 & \rightarrow & (0,-2)\\ y=0 & \Rightarrow x=4 & \rightarrow & (4,0) \end{array}\right]$ Graphically solving: $x=2,\ y=-1$. Checking:$\qquad \left\{\begin{array}{lll} 3(2)+(-1)=1 & \Rightarrow & 6-1=5\\ & & \\ 2-2(-1)=4 & \Rightarrow & 2+2=4 \end{array}\right.$ both equations are satisfied, $(2,-1)$ is the solution.
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