Question
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Solve the following equations.
5.

Ask by Dunn Chavez. in the United States
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

To solve the equation:
Step 1: Eliminate the Denominators
First, identify the least common denominator (LCD) of the fractions involved, which is . Multiply every term in the equation by to eliminate the denominators:
Step 2: Simplify Each Term
Step 3: Solve for
Subtract 15 from both sides to isolate :
Step 4: Verify the Solution
Ensure that does not make any denominator zero:
Since neither denominator is zero, is a valid solution.
Final Answer:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Extra Insights

To solve the equation , we first find a common denominator, which is . This allows us to rewrite the equation as:
Now, we combine the terms on the right side:
Since the denominators are the same, we can equate the numerators:
To isolate , subtract 15 from both sides:
Thus,
The solution to the equation is .

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