Concept explainers
To solve: the equation
Also determine whether the equation is an identity or has no solution.
Answer to Problem 28WE
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 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, isolate the variable first by multiplying both sides of given equation with 2, as
Now, collect the variables on one side of the equation and the constants on the other side, as
Thus, the given equation has one solution
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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