Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.11 - Solving Equations and Inequalities Graphically - 1.11 Exercises - Page 121: 6

Answer

$x$ = $-6$

Work Step by Step

Given equation is- $\frac{1}{2}x-3$ = $6+2x$ Algebraic Solution: Isolating $x$ on one side of the equation- $2x-\frac{1}{2}x$ = $-3-6$ i.e. $\frac{3}{2}x$ = $-9$ i.e. $x$ = $\frac{-2\times9}{3}$ = $\frac{-18}{3}$ i.e. $x$ = $-6$ is the required solution Graphical Solution: On rearranging the given equation- $2x-\frac{1}{2}x+3+6$ = $0$ i.e. $\frac{3}{2}x+9$ = $0$ Now graphing $y$ = $\frac{3}{2}x+9$ We see that graph intercept $x-axis$ at $-6$ Thus from the graph we conclude that the solution is $x$ = $-6$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.