Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 1 - Systems of Linear Equations - 1.2 Gaussian Elimination and Gauss-Jordan Elimination - 1.2 Exercises - Page 22: 27


This system has no solutions - it is inconsistent.

Work Step by Step

Follow the steps below: Step 1: Add the 1st equation multiplied by $2$ to the second equation $$2x+2(-x)-4y+2\times2y=3+2\times1.5$$ which gives $$0=6.$$ Since we know that in fact $0\neq6$ this system is inconsistent and has no solutions.
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