Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 2 - Systems of Linear Equations and Inequalities - 2.1 Systems of Linear Equations - 2.1 Exercises - Page 143: 45

Answer

$(2,11)$, or $x=2,\ y=11.$ The system is consistent, and the lines are independent.

Work Step by Step

Note the row in which $\left[\begin{array}{lll} x & y_{1} & y_{2}\\ & & \\ 2 & 11 & 11\\ & & \end{array}\right]$ For x=2, both functions produce a y-coordinate of $11.$ This means that $(2,11)$ is an intersection point, and thus is a solution to the system. There is only one solution, so the system is consistent, and the lines are independent.
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