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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Chapter 9.2, Problem 32WE
To determine

To find: Whether the system of equation has no solution or infinitely many solutions.

Expert Solution & Answer
Check Mark

Answer to Problem 32WE

Thus, the system has infinitely many solution and three solutions are (0,8),(4,0),(3,2) .

Explanation of Solution

Given information:

The given equations are,

  3y6x=248+2x=y

The given equation can be written as,

  y=2x+8

The another given equation is,

  3y6x=24

Substitute 2x+8 for y .

  3y6x=243(2x+8)6x=246x+246x=246x6x=24240=0

Since L.H.S is equal to R.H.S hence the following system of equation has infinitely many solutions.

Three solutions of the given system are (0,8),(4,0),(3,2) .

Thus, the system has infinitely many solution and three solutions are (0,8),(4,0),(3,2) .

Chapter 9 Solutions

Algebra: Structure And Method, Book 1

Ch. 9.1 - Prob. 2WECh. 9.1 - Prob. 3WECh. 9.1 - Prob. 4WECh. 9.1 - Prob. 5WECh. 9.1 - Prob. 6WECh. 9.1 - Prob. 7WECh. 9.1 - Prob. 8WECh. 9.1 - Prob. 9WECh. 9.1 - Prob. 10WECh. 9.1 - Prob. 11WECh. 9.1 - Prob. 12WECh. 9.1 - Prob. 13WECh. 9.1 - Prob. 14WECh. 9.1 - Prob. 15WECh. 9.1 - Prob. 16WECh. 9.1 - Prob. 17WECh. 9.1 - Prob. 18WECh. 9.1 - Prob. 19WECh. 9.1 - Prob. 20WECh. 9.1 - Prob. 21WECh. 9.1 - Prob. 22WECh. 9.1 - Prob. 23WECh. 9.1 - Prob. 24WECh. 9.1 - Prob. 1MRECh. 9.1 - Prob. 2MRECh. 9.1 - Prob. 3MRECh. 9.1 - Prob. 4MRECh. 9.1 - Prob. 5MRECh. 9.1 - Prob. 6MRECh. 9.1 - Prob. 1CECh. 9.1 - Prob. 2CECh. 9.1 - Prob. 3CECh. 9.1 - Prob. 4CECh. 9.2 - Prob. 1OECh. 9.2 - Prob. 2OECh. 9.2 - Prob. 3OECh. 9.2 - Prob. 4OECh. 9.2 - Prob. 5OECh. 9.2 - Prob. 6OECh. 9.2 - Prob. 7OECh. 9.2 - Prob. 8OECh. 9.2 - Prob. 9OECh. 9.2 - Prob. 10OECh. 9.2 - Prob. 11OECh. 9.2 - Prob. 12OECh. 9.2 - Prob. 1WECh. 9.2 - Prob. 2WECh. 9.2 - Prob. 3WECh. 9.2 - Prob. 4WECh. 9.2 - Prob. 5WECh. 9.2 - Prob. 6WECh. 9.2 - Prob. 7WECh. 9.2 - Prob. 8WECh. 9.2 - Prob. 9WECh. 9.2 - Prob. 10WECh. 9.2 - Prob. 11WECh. 9.2 - Prob. 12WECh. 9.2 - Prob. 13WECh. 9.2 - Prob. 14WECh. 9.2 - Prob. 15WECh. 9.2 - Prob. 16WECh. 9.2 - Prob. 17WECh. 9.2 - Prob. 18WECh. 9.2 - Prob. 19WECh. 9.2 - Prob. 20WECh. 9.2 - Prob. 21WECh. 9.2 - Prob. 22WECh. 9.2 - Prob. 23WECh. 9.2 - Prob. 24WECh. 9.2 - Prob. 25WECh. 9.2 - Prob. 26WECh. 9.2 - Prob. 27WECh. 9.2 - Prob. 28WECh. 9.2 - Prob. 29WECh. 9.2 - Prob. 30WECh. 9.2 - Prob. 31WECh. 9.2 - Prob. 32WECh. 9.2 - Prob. 33WECh. 9.2 - Prob. 34WECh. 9.2 - Prob. 35WECh. 9.2 - Prob. 36WECh. 9.2 - Prob. 37WECh. 9.2 - Prob. 38WECh. 9.2 - Prob. 39WECh. 9.2 - Prob. 40WECh. 9.2 - Prob. 41WECh. 9.2 - Prob. 1MRECh. 9.2 - Prob. 2MRECh. 9.2 - Prob. 3MRECh. 9.2 - Prob. 4MRECh. 9.2 - Prob. 5MRECh. 9.2 - Prob. 6MRECh. 9.2 - Prob. 7MRECh. 9.2 - Prob. 8MRECh. 9.2 - Prob. 9MRECh. 9.2 - Prob. 10MRECh. 9.2 - Prob. 11MRECh. 9.2 - Prob. 12MRECh. 9.3 - Prob. 1OECh. 9.3 - Prob. 2OECh. 9.3 - Prob. 3OECh. 9.3 - Prob. 4OECh. 9.3 - 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Prob. 44WECh. 9.5 - Prob. 45WECh. 9.5 - Prob. 46WECh. 9.5 - Prob. 1MPCh. 9.5 - Prob. 2MPCh. 9.5 - Prob. 3MPCh. 9.5 - Prob. 4MPCh. 9.5 - Prob. 5MPCh. 9.5 - Prob. 6MPCh. 9.5 - Prob. 7MPCh. 9.5 - Prob. 8MPCh. 9.5 - Prob. 9MPCh. 9.5 - Prob. 10MPCh. 9.5 - Prob. 11MPCh. 9.5 - Prob. 12MPCh. 9.5 - Prob. 13MPCh. 9.5 - Prob. 14MPCh. 9.5 - Prob. 15MPCh. 9.5 - Prob. 16MPCh. 9.5 - Prob. 17MPCh. 9.5 - Prob. 18MPCh. 9.5 - Prob. 19MPCh. 9.5 - Prob. 20MPCh. 9.5 - Prob. 21MPCh. 9.5 - Prob. 22MPCh. 9.5 - Prob. 23MPCh. 9.5 - Prob. 24MPCh. 9.5 - Prob. 25MPCh. 9.5 - Prob. 26MPCh. 9.5 - Prob. 27MPCh. 9.5 - Prob. 1PCh. 9.5 - Prob. 2PCh. 9.5 - Prob. 3PCh. 9.5 - Prob. 4PCh. 9.5 - Prob. 5PCh. 9.5 - Prob. 6PCh. 9.5 - Prob. 7PCh. 9.5 - Prob. 8PCh. 9.5 - Prob. 9PCh. 9.5 - Prob. 10PCh. 9.5 - Prob. 11PCh. 9.5 - Prob. 12PCh. 9.5 - Prob. 13PCh. 9.5 - Prob. 14PCh. 9.5 - Prob. 15PCh. 9.5 - Prob. 16PCh. 9.5 - Prob. 17PCh. 9.5 - Prob. 18PCh. 9.5 - Prob. 19PCh. 9.5 - Prob. 20PCh. 9.5 - Prob. 21PCh. 9.5 - Prob. 22PCh. 9.5 - Prob. 23PCh. 9.5 - Prob. 24PCh. 9.5 - Prob. 25PCh. 9.5 - Prob. 26PCh. 9.5 - Prob. 27PCh. 9.5 - Prob. 28PCh. 9.5 - Prob. 29PCh. 9.5 - Prob. 30PCh. 9.5 - Prob. 31PCh. 9.5 - Prob. 32PCh. 9.5 - Prob. 1MRECh. 9.5 - Prob. 2MRECh. 9.5 - Prob. 3MRECh. 9.5 - Prob. 4MRECh. 9.5 - Prob. 5MRECh. 9.5 - Prob. 6MRECh. 9.5 - Prob. 7MRECh. 9.5 - Prob. 8MRECh. 9.5 - Prob. 9MRECh. 9.5 - Prob. 10MRECh. 9.5 - Prob. 1CECh. 9.5 - Prob. 2CECh. 9.5 - Prob. 3CECh. 9.5 - Prob. 1STCh. 9.5 - Prob. 2STCh. 9.5 - Prob. 3STCh. 9.5 - Prob. 4STCh. 9.5 - Prob. 5STCh. 9.5 - Prob. 6STCh. 9.5 - Prob. 7STCh. 9.5 - Prob. 8STCh. 9.5 - Prob. 9STCh. 9.6 - Prob. 1OECh. 9.6 - Prob. 2OECh. 9.6 - Prob. 3OECh. 9.6 - Prob. 4OECh. 9.6 - Prob. 5OECh. 9.6 - Prob. 6OECh. 9.6 - Prob. 7OECh. 9.6 - Prob. 8OECh. 9.6 - Prob. 9OECh. 9.6 - Prob. 10OECh. 9.6 - Prob. 11OECh. 9.6 - Prob. 12OECh. 9.6 - Prob. 13OECh. 9.6 - Prob. 14OECh. 9.6 - Prob. 15OECh. 9.6 - Prob. 16OECh. 9.6 - Prob. 1PCh. 9.6 - Prob. 2PCh. 9.6 - Prob. 3PCh. 9.6 - Prob. 4PCh. 9.6 - Prob. 5PCh. 9.6 - Prob. 6PCh. 9.6 - Prob. 7PCh. 9.6 - Prob. 8PCh. 9.6 - Prob. 9PCh. 9.6 - Prob. 10PCh. 9.6 - Prob. 11PCh. 9.6 - Prob. 12PCh. 9.6 - Prob. 13PCh. 9.6 - Prob. 14PCh. 9.6 - Prob. 15PCh. 9.6 - Prob. 16PCh. 9.6 - Prob. 17PCh. 9.6 - Prob. 18PCh. 9.6 - Prob. 19PCh. 9.6 - Prob. 20PCh. 9.6 - Prob. 21PCh. 9.6 - Prob. 22PCh. 9.6 - Prob. 23PCh. 9.6 - Prob. 1MRECh. 9.6 - Prob. 2MRECh. 9.6 - Prob. 3MRECh. 9.6 - Prob. 4MRECh. 9.6 - Prob. 5MRECh. 9.6 - Prob. 6MRECh. 9.6 - Prob. 7MRECh. 9.6 - Prob. 8MRECh. 9.6 - Prob. 9MRECh. 9.7 - Prob. 1OECh. 9.7 - Prob. 2OECh. 9.7 - Prob. 3OECh. 9.7 - Prob. 4OECh. 9.7 - Prob. 5OECh. 9.7 - Prob. 6OECh. 9.7 - Prob. 7OECh. 9.7 - Prob. 8OECh. 9.7 - Prob. 9OECh. 9.7 - Prob. 10OECh. 9.7 - Prob. 11OECh. 9.7 - Prob. 12OECh. 9.7 - Prob. 13OECh. 9.7 - Prob. 14OECh. 9.7 - Prob. 15OECh. 9.7 - Prob. 16OECh. 9.7 - Prob. 17OECh. 9.7 - Prob. 18OECh. 9.7 - Prob. 19OECh. 9.7 - Prob. 20OECh. 9.7 - Prob. 21OECh. 9.7 - Prob. 22OECh. 9.7 - Prob. 1PCh. 9.7 - Prob. 2PCh. 9.7 - Prob. 3PCh. 9.7 - Prob. 4PCh. 9.7 - Prob. 5PCh. 9.7 - Prob. 6PCh. 9.7 - Prob. 7PCh. 9.7 - Prob. 8PCh. 9.7 - Prob. 9PCh. 9.7 - Prob. 10PCh. 9.7 - Prob. 11PCh. 9.7 - Prob. 12PCh. 9.7 - Prob. 13PCh. 9.7 - Prob. 14PCh. 9.7 - Prob. 15PCh. 9.7 - Prob. 16PCh. 9.7 - Prob. 17PCh. 9.7 - Prob. 18PCh. 9.7 - Prob. 19PCh. 9.7 - Prob. 20PCh. 9.7 - Prob. 21PCh. 9.7 - Prob. 22PCh. 9.7 - Prob. 23PCh. 9.7 - Prob. 24PCh. 9.7 - Prob. 25PCh. 9.7 - Prob. 26PCh. 9.7 - Prob. 27PCh. 9.7 - Prob. 28PCh. 9.7 - Prob. 29PCh. 9.7 - Prob. 30PCh. 9.7 - Prob. 31PCh. 9.7 - Prob. 32PCh. 9.7 - Prob. 33PCh. 9.7 - Prob. 34PCh. 9.7 - Prob. 1MRECh. 9.7 - Prob. 2MRECh. 9.7 - Prob. 3MRECh. 9.7 - Prob. 4MRECh. 9.7 - Prob. 5MRECh. 9.7 - Prob. 6MRECh. 9.7 - Prob. 7MRECh. 9.7 - Prob. 8MRECh. 9.7 - Prob. 9MRECh. 9.7 - Prob. 10MRECh. 9.7 - Prob. 11MRECh. 9.7 - Prob. 12MRECh. 9.7 - Prob. 1STCh. 9.7 - Prob. 2STCh. 9.7 - Prob. 3STCh. 9.7 - Prob. 4STCh. 9 - Prob. 1CRCh. 9 - Prob. 2CRCh. 9 - Prob. 3CRCh. 9 - Prob. 4CRCh. 9 - Prob. 5CRCh. 9 - 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