Concept explainers
To solve: the equation
Also determine whether the equation is an identity or has no solution.
Answer to Problem 18WE
No 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 has no solution.
- Steps to solve a linear equation:
- Use distributive property to eliminate any grouping symbol.
- Simplify the expression in each side of the equation.
- Collect the variables on one side of the equation and the constants on the other side.
- Isolate the variable.
Calculation:
In order to solve the equation:
First, collect the variables on one side of the equation and the constants on the other side, as
But, the statement
Thus, the given equation has no solution.
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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