Question
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Solve the equation

Ask by Medina Bright. in the United States
Jan 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

To solve the equation:
follow these steps:

Step 1: Eliminate the Fractions

First, identify the least common denominator (LCD) to eliminate the fractions. The denominators here are and . The LCD is .
Multiply both sides of the equation by :

Step 2: Simplify Each Term

Let’s simplify each term after multiplication:
  1. First Term:
    (The cancels out.)
  2. Second Term:
    (The cancels out.)
  3. Third Term:
After simplification, the equation becomes:

Step 3: Solve for

Now, isolate :
  1. Add 4 to both sides to get rid of the constant term on the right:
  2. Divide both sides by 18 to solve for :
  3. Simplify the fraction by dividing numerator and denominator by 2:

Final Answer

Alternatively, as a decimal:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Extra Insights

To solve the equation , we first eliminate the fractions by multiplying through by (assuming ):
This simplifies to:
Next, we solve for by isolating :
Thus, the solution to the equation is:

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