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What is the solution set for the equation 4x + 1 = 2x + 9?

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Question: What is the solution set for the equation 4x + 1 = 2x + 9?

Options:

  1. x = 4
  2. x = 3
  3. x = 2
  4. x = 1

Correct Answer: x = 4

Solution: 

Subtract 2x from both sides: 2x + 1 = 9. Then subtract 1: 2x = 8. Finally, divide by 2: x = 4.

What is the solution set for the equation 4x + 1 = 2x + 9?

Practice Questions

Q1
What is the solution set for the equation 4x + 1 = 2x + 9?
  1. x = 4
  2. x = 3
  3. x = 2
  4. x = 1

Questions & Step-by-Step Solutions

What is the solution set for the equation 4x + 1 = 2x + 9?
  • Step 1: Start with the equation 4x + 1 = 2x + 9.
  • Step 2: Subtract 2x from both sides to get 4x - 2x + 1 = 9.
  • Step 3: This simplifies to 2x + 1 = 9.
  • Step 4: Now, subtract 1 from both sides to isolate the term with x: 2x = 9 - 1.
  • Step 5: This simplifies to 2x = 8.
  • Step 6: Finally, divide both sides by 2 to solve for x: x = 8 / 2.
  • Step 7: This gives us x = 4.
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