## 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: 32

#### Answer

The equations are inconsistent because there is no point of intersection. Both equations form lines that are parallel.

#### Work Step by Step

We can simplify Equation 2 by dividing both sides by 2, this gives us $-4x+5y = 7$. We can then graph $4x-5y = 3$ and $-4x+5y = 7$ to see if there are any solutions. By graphing the equations, we can see that they do not intersect and are therefore inconsistent.

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