Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 11, Problem 7CLR
To determine

To calculate:

The system of the following equations

  2x2+y2=6xy=3

Expert Solution & Answer
Check Mark

Answer to Problem 7CLR

The solutions to the system of the equations are x=1,y=2 .

Explanation of Solution

Given information:

  2x2+y2=6xy=3

Calculation:

Consider the equation

  2x2+y2=6...(1)xy=3...(2)

Put value of y in equation (2)

  xy=3x=y+3

Put value of x in equation (1)

  2x2+y2=62(y+3)2+y2=62(y2+6y+9)+y2=62y2+12y+18+y2=63y2+12y+12=0

By using quadratic equation formula:

  y=b±b24ac2a[a=3,b=12,c=12]y=12±1224(3)(12)2(3)y=12±02.3y=122(3)y=2

Put the value in equation (2):

  x=y+3x=2+3x=1

The solutions to the system of the equations are x=1,y=2 .

Chapter 11 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 11.1 - Prob. 11OECh. 11.1 - Prob. 12OECh. 11.1 - Prob. 13OECh. 11.1 - Prob. 14OECh. 11.1 - Prob. 1WECh. 11.1 - Prob. 2WECh. 11.1 - Prob. 3WECh. 11.1 - Prob. 4WECh. 11.1 - Prob. 5WECh. 11.1 - Prob. 6WECh. 11.1 - Prob. 7WECh. 11.1 - Prob. 8WECh. 11.1 - Prob. 9WECh. 11.1 - Prob. 10WECh. 11.1 - Prob. 11WECh. 11.1 - Prob. 12WECh. 11.1 - Prob. 13WECh. 11.1 - Prob. 14WECh. 11.1 - Prob. 15WECh. 11.1 - Prob. 16WECh. 11.1 - Prob. 17WECh. 11.1 - Prob. 18WECh. 11.1 - Prob. 19WECh. 11.1 - Prob. 20WECh. 11.1 - Prob. 21WECh. 11.1 - Prob. 22WECh. 11.1 - Prob. 23WECh. 11.1 - Prob. 24WECh. 11.1 - Prob. 25WECh. 11.1 - Prob. 26WECh. 11.1 - Prob. 27WECh. 11.1 - Prob. 28WECh. 11.1 - Prob. 29WECh. 11.1 - Prob. 30WECh. 11.1 - Prob. 31WECh. 11.1 - Prob. 32WECh. 11.1 - Prob. 33WECh. 11.1 - Prob. 34WECh. 11.1 - Prob. 35WECh. 11.1 - Prob. 1MRECh. 11.1 - Prob. 2MRECh. 11.1 - Prob. 3MRECh. 11.1 - Prob. 4MRECh. 11.1 - Prob. 5MRECh. 11.1 - Prob. 6MRECh. 11.1 - Prob. 7MRECh. 11.1 - Prob. 8MRECh. 11.1 - Prob. 9MRECh. 11.2 - Prob. 1OECh. 11.2 - Prob. 2OECh. 11.2 - Prob. 3OECh. 11.2 - Prob. 4OECh. 11.2 - Prob. 5OECh. 11.2 - Prob. 6OECh. 11.2 - Prob. 1WECh. 11.2 - Prob. 2WECh. 11.2 - Prob. 3WECh. 11.2 - Prob. 4WECh. 11.2 - Prob. 5WECh. 11.2 - Prob. 6WECh. 11.2 - Prob. 7WECh. 11.2 - Prob. 8WECh. 11.2 - Prob. 9WECh. 11.2 - Prob. 10WECh. 11.2 - Prob. 11WECh. 11.2 - Prob. 12WECh. 11.2 - Prob. 13WECh. 11.2 - Prob. 14WECh. 11.2 - Prob. 15WECh. 11.2 - Prob. 16WECh. 11.2 - Prob. 17WECh. 11.2 - Prob. 18WECh. 11.2 - Prob. 19WECh. 11.2 - Prob. 20WECh. 11.2 - Prob. 21WECh. 11.2 - Prob. 22WECh. 11.2 - Prob. 23WECh. 11.2 - Prob. 24WECh. 11.2 - Prob. 25WECh. 11.2 - Prob. 26WECh. 11.2 - Prob. 27WECh. 11.2 - Prob. 28WECh. 11.2 - Prob. 29WECh. 11.2 - Prob. 30WECh. 11.2 - Prob. 31WECh. 11.2 - Prob. 32WECh. 11.2 - Prob. 33WECh. 11.3 - Prob. 1OECh. 11.3 - Prob. 2OECh. 11.3 - Prob. 3OECh. 11.3 - Prob. 4OECh. 11.3 - Prob. 5OECh. 11.3 - Prob. 6OECh. 11.3 - Prob. 7OECh. 11.3 - Prob. 8OECh. 11.3 - Prob. 1WECh. 11.3 - Prob. 2WECh. 11.3 - Prob. 3WECh. 11.3 - Prob. 4WECh. 11.3 - Prob. 5WECh. 11.3 - Prob. 6WECh. 11.3 - Prob. 7WECh. 11.3 - Prob. 8WECh. 11.3 - Prob. 9WECh. 11.3 - Prob. 10WECh. 11.3 - Prob. 11WECh. 11.3 - Prob. 12WECh. 11.3 - Prob. 13WECh. 11.3 - Prob. 14WECh. 11.3 - Prob. 15WECh. 11.3 - Prob. 16WECh. 11.3 - Prob. 17WECh. 11.3 - Prob. 18WECh. 11.3 - Prob. 19WECh. 11.3 - Prob. 20WECh. 11.3 - Prob. 21WECh. 11.3 - Prob. 22WECh. 11.3 - Prob. 23WECh. 11.3 - Prob. 24WECh. 11.3 - Prob. 25WECh. 11.3 - Prob. 26WECh. 11.3 - Prob. 27WECh. 11.3 - Prob. 28WECh. 11.3 - Prob. 29WECh. 11.3 - Prob. 30WECh. 11.3 - Prob. 31WECh. 11.3 - Prob. 32WECh. 11.3 - Prob. 33WECh. 11.3 - Prob. 34WECh. 11.3 - Prob. 35WECh. 11.3 - Prob. 36WECh. 11.3 - Prob. 37WECh. 11.3 - Prob. 38WECh. 11.3 - Prob. 39WECh. 11.3 - Prob. 40WECh. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.3 - Prob. 7PCh. 11.3 - Prob. 8PCh. 11.3 - Prob. 9PCh. 11.3 - Prob. 10PCh. 11.3 - Prob. 11PCh. 11.3 - Prob. 12PCh. 11.3 - Prob. 13PCh. 11.3 - Prob. 14PCh. 11.3 - Prob. 1MRECh. 11.3 - Prob. 2MRECh. 11.3 - Prob. 3MRECh. 11.3 - Prob. 4MRECh. 11.3 - Prob. 5MRECh. 11.3 - Prob. 6MRECh. 11.3 - Prob. 7MRECh. 11.3 - Prob. 8MRECh. 11.3 - Prob. 9MRECh. 11.3 - Prob. 1STCh. 11.3 - Prob. 2STCh. 11.3 - Prob. 3STCh. 11.3 - Prob. 4STCh. 11.3 - Prob. 5STCh. 11.3 - Prob. 6STCh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.4 - Prob. 1OECh. 11.4 - Prob. 2OECh. 11.4 - Prob. 3OECh. 11.4 - Prob. 4OECh. 11.4 - Prob. 5OECh. 11.4 - Prob. 6OECh. 11.4 - Prob. 7OECh. 11.4 - Prob. 8OECh. 11.4 - Prob. 9OECh. 11.4 - Prob. 10OECh. 11.4 - Prob. 11OECh. 11.4 - Prob. 12OECh. 11.4 - Prob. 13OECh. 11.4 - Prob. 14OECh. 11.4 - Prob. 1WECh. 11.4 - Prob. 2WECh. 11.4 - Prob. 3WECh. 11.4 - Prob. 4WECh. 11.4 - Prob. 5WECh. 11.4 - Prob. 6WECh. 11.4 - Prob. 7WECh. 11.4 - Prob. 8WECh. 11.4 - Prob. 9WECh. 11.4 - Prob. 10WECh. 11.4 - Prob. 11WECh. 11.4 - Prob. 12WECh. 11.4 - Prob. 13WECh. 11.4 - Prob. 14WECh. 11.4 - Prob. 15WECh. 11.4 - Prob. 16WECh. 11.4 - Prob. 17WECh. 11.4 - Prob. 18WECh. 11.4 - Prob. 19WECh. 11.4 - Prob. 20WECh. 11.4 - Prob. 21WECh. 11.4 - Prob. 22WECh. 11.4 - Prob. 23WECh. 11.4 - Prob. 24WECh. 11.4 - Prob. 25WECh. 11.4 - Prob. 26WECh. 11.4 - Prob. 27WECh. 11.4 - Prob. 28WECh. 11.4 - Prob. 29WECh. 11.4 - Prob. 30WECh. 11.4 - Prob. 31WECh. 11.4 - Prob. 32WECh. 11.4 - Prob. 33WECh. 11.4 - Prob. 34WECh. 11.4 - Prob. 35WECh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.5 - Prob. 1OECh. 11.5 - Prob. 2OECh. 11.5 - Prob. 3OECh. 11.5 - Prob. 4OECh. 11.5 - Prob. 1WECh. 11.5 - Prob. 2WECh. 11.5 - Prob. 3WECh. 11.5 - Prob. 4WECh. 11.5 - Prob. 5WECh. 11.5 - Prob. 6WECh. 11.5 - Prob. 7WECh. 11.5 - Prob. 8WECh. 11.5 - Prob. 9WECh. 11.5 - Prob. 10WECh. 11.5 - Prob. 11WECh. 11.5 - Prob. 12WECh. 11.5 - Prob. 13WECh. 11.5 - Prob. 14WECh. 11.5 - Prob. 15WECh. 11.5 - Prob. 16WECh. 11.5 - Prob. 17WECh. 11.5 - Prob. 18WECh. 11.5 - Prob. 19WECh. 11.5 - Prob. 20WECh. 11.5 - Prob. 21WECh. 11.5 - Prob. 22WECh. 11.5 - Prob. 23WECh. 11.5 - Prob. 24WECh. 11.5 - Prob. 25WECh. 11.5 - Prob. 26WECh. 11.5 - Prob. 27WECh. 11.5 - Prob. 28WECh. 11.5 - Prob. 29WECh. 11.5 - Prob. 30WECh. 11.5 - Prob. 31WECh. 11.5 - Prob. 32WECh. 11.5 - Prob. 33WECh. 11.5 - Prob. 34WECh. 11.5 - Prob. 35WECh. 11.5 - Prob. 36WECh. 11.5 - Prob. 37WECh. 11.5 - Prob. 38WECh. 11.5 - Prob. 1PCh. 11.5 - Prob. 2PCh. 11.5 - Prob. 3PCh. 11.5 - Prob. 4PCh. 11.5 - Prob. 5PCh. 11.5 - Prob. 6PCh. 11.5 - Prob. 7PCh. 11.5 - Prob. 8PCh. 11.5 - Prob. 9PCh. 11.5 - Prob. 10PCh. 11.5 - Prob. 11PCh. 11.5 - Prob. 12PCh. 11.5 - Prob. 13PCh. 11.5 - Prob. 14PCh. 11.5 - Prob. 15PCh. 11.5 - Prob. 1MRECh. 11.5 - Prob. 2MRECh. 11.5 - Prob. 3MRECh. 11.5 - Prob. 4MRECh. 11.5 - Prob. 5MRECh. 11.5 - Prob. 6MRECh. 11.5 - Prob. 7MRECh. 11.5 - Prob. 8MRECh. 11.5 - Prob. 9MRECh. 11.5 - Prob. 10MRECh. 11.5 - Prob. 11MRECh. 11.5 - Prob. 12MRECh. 11.5 - Prob. 1CECh. 11.5 - Prob. 2CECh. 11.6 - Prob. 1OECh. 11.6 - Prob. 2OECh. 11.6 - Prob. 3OECh. 11.6 - Prob. 4OECh. 11.6 - Prob. 5OECh. 11.6 - Prob. 6OECh. 11.6 - Prob. 7OECh. 11.6 - Prob. 8OECh. 11.6 - Prob. 9OECh. 11.6 - Prob. 10OECh. 11.6 - Prob. 1WECh. 11.6 - Prob. 2WECh. 11.6 - Prob. 3WECh. 11.6 - Prob. 4WECh. 11.6 - Prob. 5WECh. 11.6 - Prob. 6WECh. 11.6 - Prob. 7WECh. 11.6 - Prob. 8WECh. 11.6 - Prob. 9WECh. 11.6 - Prob. 10WECh. 11.6 - Prob. 11WECh. 11.6 - Prob. 12WECh. 11.6 - Prob. 13WECh. 11.6 - Prob. 14WECh. 11.6 - Prob. 15WECh. 11.6 - Prob. 16WECh. 11.6 - Prob. 17WECh. 11.6 - Prob. 18WECh. 11.6 - Prob. 19WECh. 11.6 - Prob. 20WECh. 11.6 - Prob. 21WECh. 11.6 - Prob. 22WECh. 11.6 - Prob. 23WECh. 11.6 - Prob. 24WECh. 11.6 - Prob. 25WECh. 11.6 - Prob. 26WECh. 11.6 - Prob. 27WECh. 11.6 - Prob. 28WECh. 11.6 - Prob. 29WECh. 11.6 - Prob. 30WECh. 11.6 - Prob. 1PCh. 11.6 - Prob. 2PCh. 11.6 - Prob. 3PCh. 11.6 - Prob. 4PCh. 11.6 - Prob. 5PCh. 11.6 - Prob. 6PCh. 11.6 - Prob. 7PCh. 11.6 - Prob. 8PCh. 11.6 - Prob. 9PCh. 11.6 - Prob. 10PCh. 11.6 - Prob. 11PCh. 11.6 - Prob. 12PCh. 11.6 - Prob. 13PCh. 11.6 - Prob. 14PCh. 11.6 - Prob. 1STCh. 11.6 - Prob. 2STCh. 11.6 - Prob. 3STCh. 11.6 - Prob. 4STCh. 11.7 - Prob. 1OECh. 11.7 - Prob. 2OECh. 11.7 - Prob. 3OECh. 11.7 - Prob. 4OECh. 11.7 - Prob. 5OECh. 11.7 - Prob. 1WECh. 11.7 - Prob. 2WECh. 11.7 - Prob. 3WECh. 11.7 - Prob. 4WECh. 11.7 - Prob. 5WECh. 11.7 - Prob. 6WECh. 11.7 - Prob. 7WECh. 11.7 - Prob. 8WECh. 11.7 - Prob. 9WECh. 11.7 - Prob. 10WECh. 11.7 - Prob. 11WECh. 11.7 - Prob. 12WECh. 11.7 - Prob. 13WECh. 11.7 - Prob. 14WECh. 11.7 - Prob. 15WECh. 11.7 - Prob. 16WECh. 11.7 - Prob. 17WECh. 11.7 - Prob. 18WECh. 11.7 - Prob. 19WECh. 11.7 - Prob. 20WECh. 11.7 - Prob. 21WECh. 11.7 - Prob. 22WECh. 11.7 - Prob. 23WECh. 11.7 - Prob. 24WECh. 11.7 - Prob. 1MRECh. 11.7 - Prob. 2MRECh. 11.7 - Prob. 3MRECh. 11.7 - Prob. 4MRECh. 11.7 - Prob. 5MRECh. 11.7 - Prob. 6MRECh. 11.7 - Prob. 7MRECh. 11.8 - Prob. 1OECh. 11.8 - Prob. 2OECh. 11.8 - Prob. 3OECh. 11.8 - Prob. 4OECh. 11.8 - Prob. 5OECh. 11.8 - Prob. 6OECh. 11.8 - Prob. 7OECh. 11.8 - Prob. 8OECh. 11.8 - Prob. 9OECh. 11.8 - Prob. 10OECh. 11.8 - Prob. 1WECh. 11.8 - Prob. 2WECh. 11.8 - Prob. 3WECh. 11.8 - Prob. 4WECh. 11.8 - Prob. 5WECh. 11.8 - Prob. 6WECh. 11.8 - Prob. 7WECh. 11.8 - Prob. 8WECh. 11.8 - Prob. 9WECh. 11.8 - Prob. 10WECh. 11.8 - Prob. 11WECh. 11.8 - Prob. 12WECh. 11.8 - Prob. 13WECh. 11.8 - Prob. 14WECh. 11.8 - Prob. 15WECh. 11.8 - Prob. 16WECh. 11.8 - Prob. 17WECh. 11.8 - Prob. 18WECh. 11.8 - Prob. 19WECh. 11.8 - Prob. 20WECh. 11.8 - Prob. 21WECh. 11.8 - Prob. 22WECh. 11.8 - Prob. 23WECh. 11.8 - Prob. 24WECh. 11.8 - Prob. 25WECh. 11.8 - Prob. 26WECh. 11.8 - Prob. 27WECh. 11.8 - Prob. 28WECh. 11.8 - Prob. 29WECh. 11.8 - Prob. 1STCh. 11.8 - Prob. 2STCh. 11.8 - Prob. 3STCh. 11.8 - Prob. 4STCh. 11.8 - Prob. 5STCh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - Prob. 8CTCh. 11 - Prob. 9CTCh. 11 - Prob. 10CTCh. 11 - Prob. 11CTCh. 11 - Prob. 1CLRCh. 11 - Prob. 2CLRCh. 11 - Prob. 3CLRCh. 11 - Prob. 4CLRCh. 11 - Prob. 5CLRCh. 11 - Prob. 6CLRCh. 11 - Prob. 7CLRCh. 11 - Prob. 8CLRCh. 11 - Prob. 9CLRCh. 11 - Prob. 10CLRCh. 11 - Prob. 11CLRCh. 11 - Prob. 12CLRCh. 11 - Prob. 13CLRCh. 11 - Prob. 14CLRCh. 11 - Prob. 15CLRCh. 11 - Prob. 16CLRCh. 11 - Prob. 17CLRCh. 11 - Prob. 18CLRCh. 11 - Prob. 19CLRCh. 11 - Prob. 20CLRCh. 11 - Prob. 21CLRCh. 11 - Prob. 22CLR

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