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

Published by Pearson

# Chapter 8 - Systems of Linear Equations and Problem Solving - 8.1 Systems of Equations in Two Variables - 8.1 Exercise Set - Page 507: 20

#### Answer

$(3,2)$

#### Work Step by Step

For each equation find two points, plot them and join with line. $2x-y=4 \Rightarrow y=2x-4 \rightarrow \left[\begin{array}{l} (0,-4)\\ (2,0) \end{array}\right]$ $5x- y=13 \Rightarrow y=5x-13 \rightarrow \left[\begin{array}{l} (2,-3)\\ (3,2) \end{array}\right]$ Graphically solving: $x=3,\ y=2$. Checking:$\qquad \left\{\begin{array}{lll} 2(3)-2=4 & \Rightarrow & 6-2=4\\ & & \\ 5(3)-2=13 & \Rightarrow & 15-2=13 \end{array}\right.$ both equations are satisfied, $(3,2)$ is the solution.

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