Concept explainers
To solve the equation:
Also determine whether the equation is an identity or has no solution.
Answer to Problem 33WE
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, collect the variable terms on one side of the equation and the constant on the other side by simplifying it, as
First, 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
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