Concept explainers
To solve the equation:
Also determine whether the equation is an identity or has no solution.
Answer to Problem 47WE
Equation has only one solution
Explanation of Solution
Given:
Concept Used:
- An equation that is true for all the values of variable has infinitely many solutions. And an equation that is not true for any value of the variable has no solution.
- Steps to solve a linear equation:
- Use distributive property to remove any grouping symbol.
- Simplify the expression in each side of the equation.
- Collect the variable terms on one side of the equation and the constant on the other side.
- Isolate the variable
Calculation:
In order to solve the equation:
First, use distributive property to remove grouping symbol from each sides, as
Now, collect the variable terms on one side of the equation and the constant on the other side, as
Now, isolate the variable by dividing both sides of above by 2, as
Thus, the given equation has one solution
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Thinking Mathematically (6th Edition)
Elementary Statistics
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education