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To solve , Farhan divided by 2 and wrote . What is wrong with that line?

Class 7Simple EquationsSimple Equations
  • AHe divided and 14 by 2 but left the 6 untouched; the line should read
  • BDividing is not allowed until the 6 has been moved across
  • CHe should have divided the left side only
  • DNothing is wrong; gives , the correct answer

Step-by-Step Solution

Dividing a side by 2 means dividing EVERY term on that side: , so the line should be → . Check: ✓. Farhan's line gives , and , not 14. Dividing before transposing is perfectly legal — you just have to reach every term, and dividing only one side would tip the balance.
Answer: A) He divided and 14 by 2 but left the 6 untouched; the line should read

Key idea: Transposition — the shortcut

When you're comfortable with the balance method, you can move terms across the '=' sign in one step by **flipping the sign** of the term that moves.


→ move +2 across, flipping it to −2:
→

For the multiplier: move ×3 across as ÷3 (and ÷ moves across as ×). Same balance idea, faster notation. **The sign flips because addition and subtraction are inverses, multiplication and division are inverses.**

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