## Elementary Linear Algebra 7th Edition

Published by Cengage Learning

# Chapter 1 - Systems of Linear Equations - 1.1 Introduction to Systems of Linear Equations - 1.1 Exercises: 24

#### Answer

The given system has infinite solutions.

#### Work Step by Step

$\frac{2x}{3} + \frac{y}{6} = \frac{2}{3}$ $4x + y = 4$ Multiply the first equation with 6: $\frac{2x}{3}*6 + \frac{y}{6}*6 = \frac{2}{3}*6$ $4x + y = 4$ From this we see that the two equations are the same. As such, their graphs overlay each other, having infinite intersection points, which means that the system has infinite solutions.

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