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Question
Which of the following is not allowed in a given equation?
Options
Adding the same number to both sides of the equation.
Subtracting the same number from both sides of the equation.
Multiplying both sides of the equation by the same non-zero number.
Dividing both sides of the equation by the same number.
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Solution
Dividing both sides of the equation by the same number.
Explanation:
Dividing both sides of the equation by the same non-zero number is allowed in a given equation, division of any number by zero is not allowed as set division of number by zero is not defined.
Notes
If we add the same number to both sides of the equation while adding and subtracting, then there will be no change in the given equation.
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| Column I | Column II |
| (i) x + 5 = 9 | (A) `- 5/3` |
| (ii) x – 7 = 4 | (B) `5/3` |
| (iii) `x/12 = -5` | (C) 4 |
| (iv) 5x = 30 | (D) 6 |
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| (vi) If p = 2, then the value of `1/3 (1 - 3p)` | (F) – 60 |
| (G) 3 |
Subtracting 5 from p, the result is 2.
