Question
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Solve the equation.
A. The solution set is . (Simplify your answer.)
B. There is no solution.

Ask by Johnston Carter. in the United States
Jan 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solution is .

Solution

To solve the equation:
Step 1: Cross-Multiply
Multiply both sides of the equation by to eliminate the denominators:
Step 2: Distribute
Expand both sides:
Step 3: Solve for
Subtract from both sides:
Add to both sides:
Step 4: Check for Validity
Ensure that the solution does not make any denominator zero:
  • For :
  • For :
Since neither denominator is zero when , the solution is valid.
Answer:
A. The solution set is .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Explain
Simplify this solution

Extra Insights

To solve the equation , we start by cross-multiplying:
Expanding both sides gives:
Now, we rearrange the equation:
So we have:
Thus, the solution set is .
The solution set is .

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