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

The given system and to give three solutions if it has infinite solutions.

The given system and to give three solutions if it has infinite solutions.

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 3.7, Problem 3ST

To determine

To solve: The given system and to give three solutions if it has infinite solutions.

Expert Solution & Answer

Answer to Problem 3ST

The system has infinitely many solutions, three of them are (1,2),(2,23) and (3,−23) .

Explanation of Solution

Given information: System is 4x=10−3y12x=30−9y .

Calculation:

4x=10−3y −(i)12x=30−9y −(ii)

Multiplying first equation by 3 and subtracting it from second equation,

12x=30−9y12x=30−9y(−) (−) (−) 0=0 ¯

An identity is derived, this implies that the system has infinitely many solutions.

Putting different values of in the equation and arranging the data in a table,

x123y223−23

Thus, the system has infinitely many solutions, three of them are (1,2),(2,23) and (3,−23) .

Chapter 3.7, Problem 2ST

Chapter 3.7, Problem 4ST

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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Identify f as being linear, quadratic, or neither. If f is quadratic, identify the leading coefficient a and ...

College Algebra with Modeling & Visualization (5th Edition)

Solve each formula for the given letter . [2.3] What percent of 60 is 42? [2.4]

Elementary and Intermediate Algebra

The numbers in the set { x|x = a b , where a, b are integers and b ≠ 0 } are called ---------- numbers.

College Algebra (10th Edition)

Simplify: (a) 49 (b) 121 .

Intermediate Algebra

Find a polynomial equation with real coefficients that has the given roots. 1, 2 – 3i

College Algebra (6th Edition)

True-False Review For Questions a-f, decide if the given statement is true or false, and give a brief justifica...

Differential Equations and Linear Algebra (4th Edition)

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