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Which of the following is not allowed in any equation?
(a) Adding the same number to both sides of the equation.
(b) Subtracting the same number from both sides of the equation.
(c) Multiplying both sides of the equation by the same non-zero number.
(d) Dividing both sides of the equation by the same number.
(a) Adding the same number to both sides of the equation.
(b) Subtracting the same number from both sides of the equation.
(c) Multiplying both sides of the equation by the same non-zero number.
(d) Dividing both sides of the equation by the same number.
- a)a
- b)b
- c)c
- d)d
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following is not allowed inanyequation?(a) Adding the sam...
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.
Note: If we put same number to both sides of the equation while adding or subtracting, then there will be no change in the given equation.
Most Upvoted Answer
Which of the following is not allowed inanyequation?(a) Adding the sam...
Explanation:
In any equation, all the operations can be performed on both sides of the equation as long as the same operation is performed on both sides. This is because we want to maintain equality between the two sides of the equation.
Let's analyze each option to determine which one is not allowed in any equation:
(a) Adding the same number to both sides of the equation:
This operation is allowed and commonly used in equations. When we add the same number to both sides, the equality is maintained. For example, if we have the equation x + 2 = 5, we can add 3 to both sides to get x + 2 + 3 = 5 + 3, which simplifies to x + 5 = 8.
(b) Subtracting the same number from both sides of the equation:
This operation is also allowed and commonly used in equations. When we subtract the same number from both sides, the equality is maintained. For example, if we have the equation x + 2 = 5, we can subtract 2 from both sides to get x + 2 - 2 = 5 - 2, which simplifies to x = 3.
(c) Multiplying both sides of the equation by the same non-zero number:
This operation is allowed and commonly used in equations. When we multiply both sides by the same non-zero number, the equality is maintained. For example, if we have the equation 2x = 8, we can multiply both sides by 3 to get 3(2x) = 3(8), which simplifies to 6x = 24.
(d) Dividing both sides of the equation by the same number:
This operation is allowed as long as the divisor is not zero. When we divide both sides by the same number, the equality is maintained. For example, if we have the equation 6x = 24, we can divide both sides by 6 to get (6x)/6 = 24/6, which simplifies to x = 4.
Therefore, the correct answer is (d) Dividing both sides of the equation by the same number. This operation is not allowed if the divisor is zero because division by zero is undefined.
In any equation, all the operations can be performed on both sides of the equation as long as the same operation is performed on both sides. This is because we want to maintain equality between the two sides of the equation.
Let's analyze each option to determine which one is not allowed in any equation:
(a) Adding the same number to both sides of the equation:
This operation is allowed and commonly used in equations. When we add the same number to both sides, the equality is maintained. For example, if we have the equation x + 2 = 5, we can add 3 to both sides to get x + 2 + 3 = 5 + 3, which simplifies to x + 5 = 8.
(b) Subtracting the same number from both sides of the equation:
This operation is also allowed and commonly used in equations. When we subtract the same number from both sides, the equality is maintained. For example, if we have the equation x + 2 = 5, we can subtract 2 from both sides to get x + 2 - 2 = 5 - 2, which simplifies to x = 3.
(c) Multiplying both sides of the equation by the same non-zero number:
This operation is allowed and commonly used in equations. When we multiply both sides by the same non-zero number, the equality is maintained. For example, if we have the equation 2x = 8, we can multiply both sides by 3 to get 3(2x) = 3(8), which simplifies to 6x = 24.
(d) Dividing both sides of the equation by the same number:
This operation is allowed as long as the divisor is not zero. When we divide both sides by the same number, the equality is maintained. For example, if we have the equation 6x = 24, we can divide both sides by 6 to get (6x)/6 = 24/6, which simplifies to x = 4.
Therefore, the correct answer is (d) Dividing both sides of the equation by the same number. This operation is not allowed if the divisor is zero because division by zero is undefined.
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Community Answer
Which of the following is not allowed inanyequation?(a) Adding the sam...
3x=21
division by 0 gives
inf = inf
therefore division is not possible here
hence option division is the correct answer.
division by 0 gives
inf = inf
therefore division is not possible here
hence option division is the correct answer.
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Which of the following is not allowed inanyequation?(a) Adding the same number to both sides of the equation.(b) Subtracting the same number from both sides of the equation.(c) Multiplying both sides of the equation by the same non-zero number.(d) Dividing both sides of the equation by the same number.a)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer?
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