Concept explainers
To solve the equation:
Also determine whether the equation is an identity or has no solution.
Answer to Problem 42WE
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:
Collect the variable terms on one side of the equation and the constant on the other side by simplifying it, as
Thus, the given equation has one solution
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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