## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - Concept and Vocabulary Check - Page 189: 6

#### Answer

Fill in the blank is empty set. inconsistent system. are parallel.

#### Work Step by Step

The given equations are. $12x-21y=24$ ... (1) $4x-7y=7$ ... (2) Multiply equation (2) by $-3$. $-12x+21y=-21$ ... (3) Add equation (1) and (3). $12x-12x-21y+21y=24-21$ Add liker terms $0=3$ This is the false statement, which indicate the the solution set is empty. And the linear system is inconsistent system. In the graph we obtain two parallel lines.

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