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Assertion (A): The equation 7k = 21 has solution k = 28. Reason (R): A solution is the value of the variable that makes the two sides of an equation equal. Which is correct?

Class 6AlgebraAlgebra
  • ABoth A and R are true and R 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

Substituting gives , not 21, so A is false — 28 comes from adding 7 and 21 instead of asking what 7 is multiplied by. The correct solution is , since . R states the definition of a solution correctly, so R is true.
Answer: D) A is false but R is true

Key idea: From expressions to equations

Add an equals sign and you have an **equation** — a question. 'For what value of does equal 13?' is written . The **solution** is the value that makes the two sides equal. Here, works, because . For Class 6, the simplest method is **trial-and-improvement** — try whole numbers until you find one that works. Faster algebraic methods come in Class 7.

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