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Concept explainers
To solve the equation:
Also determine whether the equation is an identity or has no solution.
![Check Mark](/static/check-mark.png)
Answer to Problem 41WE
The given equation is an identity and has infinitely many solutions.
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, collect the variable terms on one side of the equation and the constant on the other side by simplifying it, as
Now, the statement
Thus, the given equation has infinitely many solutions.
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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