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High School Math Algebra Algebra and Trigonometry: Structure and Method, Book 2

To Specify: Calculate the solution for given equations.

To Specify: Calculate the solution for given equations.

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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Question

Chapter 3.5, Problem 24WE

To determine

To Specify: Calculate the solution for given equations.

Expert Solution & Answer

Answer to Problem 24WE

There is unique solution for the system.

x=12 and y=12 .

Explanation of Solution

Given information:

2x+y=2−xx+2y=2+y

Calculation:

2x+y=2−xOn arranging above equation,3x+y=2 .....(1)

x+2y=2+y On arranging above equation,x+3y=2 On multiplying the above equation by 33x+9y=6......(2)

Let a1 and a2 be the coefficients of variable x and b1 and b2 be the coefficients of variable y in both equations,

a1a2=31a1a2=3therefore,b1b2=13since,a1a2≠b1b2

Thus, system has unique solution.

Subtracting equation (1) from equation (2),

3x+9y−(3x+y)=6−29y−y=48y=4y=48y=12

Substitute value of y in equation (1),

3x+12=23x=2−123x=32x=12

Chapter 3.5, Problem 23WE

Chapter 3.5, Problem 25WE

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 3.1 - Prob. 1OE Ch. 3.1 - Prob. 2OE Ch. 3.1 - Prob. 3OE Ch. 3.1 - Prob. 4OE Ch. 3.1 - Prob. 5OE Ch. 3.1 - Prob. 6OE Ch. 3.1 - Prob. 7OE Ch. 3.1 - Prob. 8OE Ch. 3.1 - Prob. 9OE Ch. 3.1 - Prob. 10OE

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Prob. 9OE Ch. 3.10 - Prob. 10OE Ch. 3.10 - Prob. 11OE Ch. 3.10 - Prob. 12OE Ch. 3.10 - Prob. 13OE Ch. 3.10 - Prob. 14OE Ch. 3.10 - Prob. 15OE Ch. 3.10 - Prob. 16OE Ch. 3.10 - Prob. 17OE Ch. 3.10 - Prob. 18OE Ch. 3.10 - Prob. 19OE Ch. 3.10 - Prob. 20OE Ch. 3.10 - Prob. 21OE Ch. 3.10 - Prob. 22OE Ch. 3.10 - Prob. 23OE Ch. 3.10 - Prob. 24OE Ch. 3.10 - Prob. 1WE Ch. 3.10 - Prob. 2WE Ch. 3.10 - Prob. 3WE Ch. 3.10 - Prob. 4WE Ch. 3.10 - Prob. 5WE Ch. 3.10 - Prob. 6WE Ch. 3.10 - Prob. 7WE Ch. 3.10 - Prob. 8WE Ch. 3.10 - Prob. 9WE Ch. 3.10 - Prob. 10WE Ch. 3.10 - Prob. 11WE Ch. 3.10 - Prob. 12WE Ch. 3.10 - Prob. 13WE Ch. 3.10 - Prob. 14WE Ch. 3.10 - Prob. 15WE Ch. 3.10 - Prob. 16WE Ch. 3.10 - Prob. 17WE Ch. 3.10 - Prob. 18WE Ch. 3.10 - Prob. 19WE Ch. 3.10 - Prob. 20WE Ch. 3.10 - Prob. 21WE Ch. 3.10 - Prob. 22WE Ch. 3.10 - Prob. 23WE Ch. 3.10 - Prob. 24WE Ch. 3.10 - Prob. 25WE Ch. 3.10 - Prob. 26WE Ch. 3.10 - Prob. 27WE Ch. 3.10 - Prob. 28WE Ch. 3.10 - Prob. 29WE Ch. 3.10 - Prob. 30WE Ch. 3.10 - Prob. 31WE Ch. 3.10 - Prob. 32WE Ch. 3.10 - Prob. 33WE Ch. 3.10 - Prob. 34WE Ch. 3.10 - Prob. 35WE Ch. 3.10 - Prob. 36WE Ch. 3.10 - Prob. 37WE Ch. 3.10 - Prob. 1ST Ch. 3.10 - Prob. 2ST Ch. 3.10 - Prob. 3ST Ch. 3.10 - Prob. 4ST Ch. 3.10 - Prob. 5ST Ch. 3.10 - Prob. 6ST Ch. 3.10 - Prob. 7ST Ch. 3.10 - Prob. 8ST Ch. 3.10 - Prob. 9ST Ch. 3.10 - Prob. 1E Ch. 3.10 - Prob. 2E Ch. 3.10 - Prob. 3E Ch. 3.10 - Prob. 4E Ch. 3.10 - Prob. 5E Ch. 3 - Prob. 1CR Ch. 3 - Prob. 2CR Ch. 3 - Prob. 3CR Ch. 3 - Prob. 4CR Ch. 3 - Prob. 5CR Ch. 3 - Prob. 6CR Ch. 3 - Prob. 7CR Ch. 3 - Prob. 8CR Ch. 3 - Prob. 9CR Ch. 3 - Prob. 10CR Ch. 3 - Prob. 11CR Ch. 3 - Prob. 12CR Ch. 3 - Prob. 13CR Ch. 3 - Prob. 14CR Ch. 3 - Prob. 15CR Ch. 3 - Prob. 16CR Ch. 3 - Prob. 17CR Ch. 3 - Prob. 18CR Ch. 3 - Prob. 1CT Ch. 3 - Prob. 2CT Ch. 3 - Prob. 3CT Ch. 3 - Prob. 4CT Ch. 3 - Prob. 5CT Ch. 3 - Prob. 6CT Ch. 3 - Prob. 7CT Ch. 3 - Prob. 8CT Ch. 3 - Prob. 9CT Ch. 3 - Prob. 10CT Ch. 3 - Prob. 11CT Ch. 3 - Prob. 12CT Ch. 3 - Prob. 13CT Ch. 3 - Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 16CT Ch. 3 - Prob. 1CLR Ch. 3 - Prob. 2CLR Ch. 3 - Prob. 3CLR Ch. 3 - Prob. 4CLR Ch. 3 - Prob. 5CLR Ch. 3 - Prob. 6CLR Ch. 3 - Prob. 7CLR Ch. 3 - Prob. 8CLR Ch. 3 - Prob. 9CLR Ch. 3 - Prob. 10CLR Ch. 3 - Prob. 11CLR Ch. 3 - Prob. 12CLR Ch. 3 - Prob. 13CLR Ch. 3 - Prob. 14CLR Ch. 3 - Prob. 15CLR Ch. 3 - Prob. 16CLR Ch. 3 - Prob. 17CLR Ch. 3 - Prob. 18CLR Ch. 3 - Prob. 19CLR Ch. 3 - Prob. 20CLR Ch. 3 - Prob. 21CLR Ch. 3 - Prob. 22CLR Ch. 3 - Prob. 23CLR Ch. 3 - Prob. 24CLR Ch. 3 - Prob. 25CLR Ch. 3 - Prob. 26CLR Ch. 3 - Prob. 27CLR Ch. 3 - Prob. 28CLR

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