Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Review: 72


This equation has no solution

Work Step by Step

$\dfrac{x}{x+3}+4=\dfrac{x}{x+3}$ Multiply the whole equation by $x+3$: $(x+3)\Big(\dfrac{x}{x+3}+4=\dfrac{x}{x+3}\Big)$ $x+4(x+3)=x$ Solve for $x$: $x+4x+12=x$ $5x-x=-12$ $4x=-12$ $x=-\dfrac{12}{4}$ $x=-3$ The original equation is undefined for this value of $x$, so this equation has no solution.
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