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Mathematics

Assertion (A) : 7x = -21

⇒ 7x7=−217\dfrac{7x}{7} = -\dfrac{21}{7} ⇒ x = -3

Reason (R) : An equation remains unchanged on dividing both sides by the same (non-zero) number.

  1. Both A and R are correct, and R is the correct explanation for A.

  2. Both A and R are correct, and R is not the correct explanation for A.

  3. A is true, but R is false.

  4. A is false, but R is true.

Linear Eqns One Variable

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Answer

In algebra, on dividing both sides of an equation by the same non-zero number, the equation remains the same.

So, reason (R) is true.

Given, 7x = -21

Dividing both sides by 7, we get

⇒7x7=−217\Rightarrow \dfrac{7x}{7} = -\dfrac{21}{7}

⇒ x = -3

So, assertion (A) is true.

∴ Both A and R are correct, and R is the correct explanation for A.

Hence, option 1 is the correct option.

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