To solve: the system of two equations in two variables.
Answer to Problem 16P
The fraction is
Explanation of Solution
Given information:
The denominator of a fraction is 9 more than the numerator. If the numerator is decreased by 3 and the denominator is increased by 3, the value of the resulting fraction is
Formula used:
Fraction problem
Step1. The problem asks for .
Step2. Let n = the numerator of the fraction
Let d = the denominator of the fraction.
Then
Step3. Use the facts of the problem to write two equations.
Step4. Solve the equations.
Calculation:
Consider ,
Let n = the numerator of the fraction.
The denominator of a fraction
Therefore, the fraction is
Fraction | Numerator is decreased by 3 and the denominator is increased by 3 |
Numerator | |
Denominator |
According to the question,
Solving the fraction we get,
Putting equation (iii) in (i) we get,
Therefore, the numerator is 8 and the denominator is 17.
Hence, the fraction is
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
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