Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Question
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Chapter 10, Problem 14MS
To determine

To solve: the equation if it is an identity or has no solution.

Expert Solution & Answer
Check Mark

Answer to Problem 14MS

Equation has a solution.

Explanation of Solution

Given information:

  y−yy+1=1y+1

Formula used:

Step 1. Check where the denominator is zero.

Step 2. Taking L.C.M.

Step 3. Multiply with the L.C.M on both the sides.

Step 4. Solve the following equation.

Calculation:

Consider,

  y−yy+1=1y+1

Now, y≠−1.

  =(y+1)[y−yy+1]=(y+1)[1y+1]=(y+1)(y)−y=1=y2+y−y=1=y2−1=0=(y+1)(y−1)=0

  =(y+1)=0=y=−1 or =(y−1)=0=y=1

Putting value of y in equation

   =y=−1 =(−1)− (−1) (−1)+1 = 1 (−1)+1

Hence, L.H.S≠R.H.S

  =y=1=1−11+1=11+1=1−12=12=2−12=12=12=12

Hence, L.H.S=R.H.S

Therefore, the solution set is {1} .

Previous
Chapter 10, Problem 13MS
Next
Chapter 10, Problem 15MS

Chapter 10 Solutions

Algebra: Structure And Method, Book 1

Ch. 10.1 - Prob. 1OECh. 10.1 - Prob. 2OECh. 10.1 - Prob. 3OECh. 10.1 - Prob. 4OECh. 10.1 - Prob. 5OECh. 10.1 - Prob. 6OECh. 10.1 - Prob. 7OECh. 10.1 - Prob. 8OECh. 10.1 - Prob. 9OECh. 10.1 - Prob. 10OE
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Prob. 20WECh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10PCh. 10.3 - Prob. 11PCh. 10.3 - Prob. 12PCh. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - Prob. 17PCh. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10.3 - Prob. 21PCh. 10.3 - Prob. 22PCh. 10.3 - Prob. 23PCh. 10.3 - Prob. 1MRECh. 10.3 - Prob. 2MRECh. 10.3 - Prob. 3MRECh. 10.3 - Prob. 4MRECh. 10.3 - Prob. 5MRECh. 10.3 - Prob. 6MRECh. 10.3 - Prob. 7MRECh. 10.3 - Prob. 8MRECh. 10.3 - Prob. 9MRECh. 10.3 - Prob. 10MRECh. 10.3 - Prob. 11MRECh. 10.3 - Prob. 12MRECh. 10.3 - Prob. 1STCh. 10.3 - Prob. 2STCh. 10.3 - Prob. 3STCh. 10.3 - Prob. 4STCh. 10.3 - Prob. 5STCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.4 - Prob. 1OECh. 10.4 - Prob. 2OECh. 10.4 - Prob. 3OECh. 10.4 - Prob. 4OECh. 10.4 - Prob. 5OECh. 10.4 - Prob. 6OECh. 10.4 - Prob. 7OECh. 10.4 - Prob. 8OECh. 10.4 - Prob. 9OECh. 10.4 - Prob. 10OECh. 10.4 - Prob. 11OECh. 10.4 - Prob. 12OECh. 10.4 - Prob. 1WECh. 10.4 - Prob. 2WECh. 10.4 - Prob. 3WECh. 10.4 - Prob. 4WECh. 10.4 - Prob. 5WECh. 10.4 - Prob. 6WECh. 10.4 - Prob. 7WECh. 10.4 - Prob. 8WECh. 10.4 - Prob. 9WECh. 10.4 - Prob. 10WECh. 10.4 - Prob. 11WECh. 10.4 - Prob. 12WECh. 10.4 - Prob. 13WECh. 10.4 - Prob. 14WECh. 10.4 - Prob. 15WECh. 10.4 - Prob. 16WECh. 10.4 - Prob. 17WECh. 10.4 - Prob. 18WECh. 10.4 - Prob. 19WECh. 10.4 - Prob. 20WECh. 10.4 - Prob. 21WECh. 10.4 - Prob. 22WECh. 10.4 - Prob. 23WECh. 10.4 - Prob. 24WECh. 10.4 - Prob. 25WECh. 10.4 - Prob. 26WECh. 10.4 - Prob. 27WECh. 10.4 - Prob. 28WECh. 10.4 - Prob. 29WECh. 10.4 - Prob. 30WECh. 10.4 - Prob. 31WECh. 10.4 - Prob. 32WECh. 10.4 - Prob. 33WECh. 10.4 - Prob. 34WECh. 10.4 - Prob. 35WECh. 10.4 - Prob. 36WECh. 10.4 - Prob. 37WECh. 10.4 - Prob. 38WECh. 10.4 - Prob. 39WECh. 10.4 - Prob. 40WECh. 10.4 - Prob. 1MRECh. 10.4 - Prob. 2MRECh. 10.4 - Prob. 3MRECh. 10.4 - Prob. 4MRECh. 10.4 - Prob. 5MRECh. 10.4 - Prob. 6MRECh. 10.4 - Prob. 7MRECh. 10.4 - Prob. 8MRECh. 10.4 - Prob. 9MRECh. 10.4 - Prob. 10MRECh. 10.4 - Prob. 11MRECh. 10.4 - Prob. 12MRECh. 10.4 - Prob. 13MRECh. 10.4 - Prob. 14MRECh. 10.5 - Prob. 1OECh. 10.5 - Prob. 2OECh. 10.5 - Prob. 3OECh. 10.5 - Prob. 4OECh. 10.5 - Prob. 5OECh. 10.5 - Prob. 6OECh. 10.5 - Prob. 7OECh. 10.5 - Prob. 8OECh. 10.5 - Prob. 9OECh. 10.5 - Prob. 10OECh. 10.5 - Prob. 11OECh. 10.5 - Prob. 12OECh. 10.5 - Prob. 13OECh. 10.5 - Prob. 14OECh. 10.5 - Prob. 15OECh. 10.5 - Prob. 16OECh. 10.5 - Prob. 17OECh. 10.5 - Prob. 18OECh. 10.5 - Prob. 1WECh. 10.5 - Prob. 2WECh. 10.5 - Prob. 3WECh. 10.5 - Prob. 4WECh. 10.5 - Prob. 5WECh. 10.5 - Prob. 6WECh. 10.5 - Prob. 7WECh. 10.5 - Prob. 8WECh. 10.5 - Prob. 9WECh. 10.5 - Prob. 10WECh. 10.5 - Prob. 11WECh. 10.5 - Prob. 12WECh. 10.5 - Prob. 13WECh. 10.5 - Prob. 14WECh. 10.5 - Prob. 15WECh. 10.5 - Prob. 16WECh. 10.5 - Prob. 17WECh. 10.5 - Prob. 18WECh. 10.5 - Prob. 19WECh. 10.5 - Prob. 20WECh. 10.5 - Prob. 21WECh. 10.5 - Prob. 22WECh. 10.5 - Prob. 23WECh. 10.5 - Prob. 24WECh. 10.5 - Prob. 25WECh. 10.5 - Prob. 26WECh. 10.5 - Prob. 27WECh. 10.5 - Prob. 28WECh. 10.5 - Prob. 29WECh. 10.5 - Prob. 30WECh. 10.5 - Prob. 31WECh. 10.5 - Prob. 32WECh. 10.5 - Prob. 33WECh. 10.5 - Prob. 34WECh. 10.5 - Prob. 35WECh. 10.5 - Prob. 36WECh. 10.5 - Prob. 37WECh. 10.5 - Prob. 38WECh. 10.5 - Prob. 39WECh. 10.5 - Prob. 1MRECh. 10.5 - Prob. 2MRECh. 10.5 - Prob. 3MRECh. 10.5 - Prob. 4MRECh. 10.5 - Prob. 5MRECh. 10.5 - Prob. 6MRECh. 10.5 - Prob. 7MRECh. 10.5 - Prob. 8MRECh. 10.5 - Prob. 9MRECh. 10.5 - Prob. 10MRECh. 10.6 - Prob. 1OECh. 10.6 - Prob. 2OECh. 10.6 - Prob. 3OECh. 10.6 - Prob. 4OECh. 10.6 - Prob. 5OECh. 10.6 - Prob. 6OECh. 10.6 - Prob. 7OECh. 10.6 - Prob. 8OECh. 10.6 - Prob. 1WECh. 10.6 - Prob. 2WECh. 10.6 - Prob. 3WECh. 10.6 - Prob. 4WECh. 10.6 - Prob. 5WECh. 10.6 - Prob. 6WECh. 10.6 - Prob. 7WECh. 10.6 - Prob. 8WECh. 10.6 - Prob. 9WECh. 10.6 - Prob. 10WECh. 10.6 - Prob. 11WECh. 10.6 - Prob. 12WECh. 10.6 - Prob. 13WECh. 10.6 - Prob. 14WECh. 10.6 - Prob. 15WECh. 10.6 - Prob. 16WECh. 10.6 - Prob. 17WECh. 10.6 - Prob. 18WECh. 10.6 - Prob. 19WECh. 10.6 - Prob. 20WECh. 10.6 - Prob. 21WECh. 10.6 - Prob. 22WECh. 10.6 - Prob. 23WECh. 10.6 - Prob. 24WECh. 10.6 - Prob. 25WECh. 10.6 - Prob. 1MRECh. 10.6 - Prob. 2MRECh. 10.6 - Prob. 3MRECh. 10.6 - Prob. 4MRECh. 10.6 - Prob. 5MRECh. 10.6 - Prob. 6MRECh. 10.6 - Prob. 7MRECh. 10.6 - Prob. 8MRECh. 10.6 - Prob. 9MRECh. 10.6 - Prob. 10MRECh. 10.6 - Prob. 11MRECh. 10.6 - Prob. 12MRECh. 10.6 - Prob. 1STCh. 10.6 - Prob. 2STCh. 10.6 - Prob. 3STCh. 10.6 - Prob. 4STCh. 10.6 - Prob. 5STCh. 10.6 - Prob. 6STCh. 10.6 - Prob. 7STCh. 10.6 - Prob. 8STCh. 10.6 - Prob. 9STCh. 10.6 - Prob. 10STCh. 10.6 - Prob. 11STCh. 10.6 - Prob. 12STCh. 10.7 - Prob. 1OECh. 10.7 - Prob. 2OECh. 10.7 - Prob. 3OECh. 10.7 - Prob. 4OECh. 10.7 - Prob. 5OECh. 10.7 - Prob. 6OECh. 10.7 - Prob. 7OECh. 10.7 - Prob. 8OECh. 10.7 - Prob. 9OECh. 10.7 - Prob. 10OECh. 10.7 - Prob. 11OECh. 10.7 - Prob. 12OECh. 10.7 - Prob. 13OECh. 10.7 - Prob. 14OECh. 10.7 - Prob. 15OECh. 10.7 - Prob. 16OECh. 10.7 - Prob. 17OECh. 10.7 - Prob. 18OECh. 10.7 - Prob. 1WECh. 10.7 - Prob. 2WECh. 10.7 - Prob. 3WECh. 10.7 - Prob. 4WECh. 10.7 - Prob. 5WECh. 10.7 - Prob. 6WECh. 10.7 - Prob. 7WECh. 10.7 - Prob. 8WECh. 10.7 - Prob. 9WECh. 10.7 - Prob. 10WECh. 10.7 - Prob. 11WECh. 10.7 - Prob. 12WECh. 10.7 - Prob. 13WECh. 10.7 - Prob. 14WECh. 10.7 - Prob. 15WECh. 10.7 - Prob. 16WECh. 10.7 - Prob. 17WECh. 10.7 - Prob. 18WECh. 10.7 - Prob. 19WECh. 10.7 - Prob. 20WECh. 10.7 - Prob. 21WECh. 10.7 - Prob. 22WECh. 10.7 - Prob. 23WECh. 10.7 - Prob. 24WECh. 10.7 - Prob. 25WECh. 10.7 - Prob. 26WECh. 10.7 - Prob. 27WECh. 10.7 - Prob. 28WECh. 10.7 - Prob. 29WECh. 10.7 - Prob. 30WECh. 10.7 - Prob. 31WECh. 10.7 - Prob. 32WECh. 10.7 - Prob. 33WECh. 10.7 - Prob. 34WECh. 10.7 - Prob. 35WECh. 10.7 - Prob. 36WECh. 10.7 - Prob. 37WECh. 10.7 - Prob. 38WECh. 10.7 - Prob. 39WECh. 10.7 - Prob. 1MRECh. 10.7 - Prob. 2MRECh. 10.7 - Prob. 3MRECh. 10.7 - Prob. 4MRECh. 10.7 - Prob. 5MRECh. 10.7 - Prob. 6MRECh. 10.7 - Prob. 7MRECh. 10.7 - Prob. 8MRECh. 10.7 - Prob. 9MRECh. 10.7 - Prob. 1ECh. 10.7 - Prob. 2ECh. 10.8 - Prob. 1OECh. 10.8 - Prob. 2OECh. 10.8 - Prob. 3OECh. 10.8 - Prob. 4OECh. 10.8 - Prob. 5OECh. 10.8 - Prob. 6OECh. 10.8 - Prob. 7OECh. 10.8 - Prob. 8OECh. 10.8 - Prob. 9OECh. 10.8 - Prob. 10OECh. 10.8 - Prob. 11OECh. 10.8 - Prob. 12OECh. 10.8 - Prob. 13OECh. 10.8 - Prob. 14OECh. 10.8 - Prob. 15OECh. 10.8 - Prob. 16OECh. 10.8 - Prob. 17OECh. 10.8 - Prob. 18OECh. 10.8 - Prob. 19OECh. 10.8 - Prob. 20OECh. 10.8 - Prob. 21OECh. 10.8 - Prob. 22OECh. 10.8 - Prob. 23OECh. 10.8 - Prob. 1WECh. 10.8 - Prob. 2WECh. 10.8 - Prob. 3WECh. 10.8 - Prob. 4WECh. 10.8 - Prob. 5WECh. 10.8 - Prob. 6WECh. 10.8 - Prob. 7WECh. 10.8 - Prob. 8WECh. 10.8 - Prob. 9WECh. 10.8 - Prob. 10WECh. 10.8 - Prob. 11WECh. 10.8 - Prob. 12WECh. 10.8 - Prob. 13WECh. 10.8 - Prob. 14WECh. 10.8 - Prob. 15WECh. 10.8 - Prob. 16WECh. 10.8 - Prob. 17WECh. 10.8 - Prob. 18WECh. 10.8 - Prob. 19WECh. 10.8 - Prob. 20WECh. 10.8 - Prob. 21WECh. 10.8 - Prob. 22WECh. 10.8 - Prob. 23WECh. 10.8 - Prob. 24WECh. 10.8 - Prob. 25WECh. 10.8 - Prob. 26WECh. 10.8 - Prob. 27WECh. 10.8 - Prob. 28WECh. 10.8 - Prob. 1MRECh. 10.8 - Prob. 2MRECh. 10.8 - Prob. 3MRECh. 10.8 - Prob. 4MRECh. 10.8 - Prob. 5MRECh. 10.8 - Prob. 6MRECh. 10.8 - Prob. 7MRECh. 10.8 - Prob. 8MRECh. 10.8 - Prob. 9MRECh. 10.8 - Prob. 10MRECh. 10.8 - Prob. 11MRECh. 10.8 - Prob. 12MRECh. 10.8 - Prob. 1STCh. 10.8 - Prob. 2STCh. 10.8 - 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