College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.1 - Linear Equations - 1.1 Exercises - Page 85: 37


The student is incorrect. Solution: x=0

Work Step by Step

$5x=4x$ By subtracting 4x, you're left with the equation x=0 which also happens to be a solution (i.e. it satisfies the original equation). $x=0$ We can check this by replacing 0 with the variables of the original equation. $5(0)=4(0)$ The equation yields a true statement (0=0),and so we know that 0 is a correct solution. This also shows that the equation is a conditional equation which also refutes the student's original reasoning. $0=0$
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