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Assertion (A): To solve we subtract 6 from both sides. Reason (R): Whatever operation we do on one side of an equation, we must do the same on the other side. Which is correct?

Class 7Simple EquationsSimple Equations
  • ABoth A and R are true, and R correctly explains A
  • BBoth A and R are true, but R does not explain A
  • CA is true but R is false
  • DA is false but R is true

Step-by-Step Solution

Subtracting 6 from both sides isolates and is valid precisely because of the balance principle (R). So R correctly explains A.
Answer: A) Both A and R are true, and R correctly explains A

Key idea: The balance principle

An equation is like a balance scale: LHS on one pan, RHS on the other, and the scale is level. Whatever you do to one side, you must do to the other to keep it balanced. So if you add 5 to LHS, add 5 to RHS. If you divide LHS by 3, divide RHS by 3.

Goal: isolate the variable on one side. Get by itself by undoing every operation around it, in reverse order, applied to BOTH sides.

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