Question
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Solve and check the linear equation.
What is the solution? Select the correct choice below and

Ask by Conner Young. in the United States
Jan 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

Solve the equation .
Solve the equation by following steps:
  • step0: Solve for :
  • step1: Multiply both sides of the equation by LCD:
  • step2: Simplify the equation:
  • step3: Move the expression to the left side:
  • step4: Add and subtract:
  • step5: Add and subtract:
  • step6: Change the signs:
  • step7: Divide both sides:
  • step8: Divide the numbers:

    The solution to the linear equation is or .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Mind Expander

To solve the linear equation , we’ll start by eliminating the fractions. The least common multiple of the denominators (12, 6, and 4) is 12, so we multiply the entire equation by 12:
This simplifies to:
Now, simplify the right side:
Next, isolate x by subtracting x from both sides:
Add 4 to both sides:
Now, divide by 2:
To check, substitute back into the original equation to ensure both sides are equal:
For the right side:
Finding a common denominator for :
Both sides are equal, confirming that is indeed the correct solution!

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