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a.
To find: The number of solutions the equation has ‘one’ or ‘more than one’ or ‘none’.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 42WE
The equation has more than one solution.
Explanation of Solution
Given information:The equation
Calculation:
It is given that
Divide both sides by 3x
Simplify it, to get
The equation is true equation, when it solved for x .
Conclusion: The equation has more than one solution.
b.
To find: The number of solutions the equation has ‘one’ or ‘more than one’ or ‘none’.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 42WE
The equation has none solution.
Explanation of Solution
Given information:
Calculation:
Let’s solve the equation for ‘ x’ .
Subtract both sides x .
It gives equation as ,
The equation is false, so there is no solution to the equation.
Conclusion: So the equation has solution as none.
c.
To find: The number of solutions the equation has ‘one’ or ‘more than one’ or ‘none’.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 42WE
The equation has one solution as
Explanation of Solution
Given information:
Calculation:
Add both sides x, we get
Add both sides 3, we get
Divide both sides by 2.
Conclusion: The equation has one solution as
Chapter 1 Solutions
Algebra: Structure And Method, Book 1
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