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What should be subtracted from 14y to get 8 as answer?
- a)6
- b)6y
- c)3y
- d)None of these
Correct answer is option 'D'. Can you explain this answer??
What should be subtracted from 14y to get 8 as answer?
a)
6
b)
6y
c)
3y
d)
None of these
 | Manasi Nair answered |
Understanding the Problem
To determine what should be subtracted from 14y to yield a result of 8, we can set up the equation:
14y - x = 8
Here, x represents the value we need to find.
Rearranging the Equation
To find x, we can rearrange the equation:
x = 14y - 8
This means that the value we need to subtract from 14y is not a constant but rather depends on the variable y.
Evaluating the Options
Now, let's examine the options provided:
- a) 6: This is a constant and does not depend on y.
- b) 6y: This is a term with y, but let's check if it fits the equation.
- c) 3y: Similar to option b, but we need to check its validity.
- d) None of these: This suggests that none of the previous options is correct.
Substituting Options
1. Option a (6): 14y - 6 = 8
- This implies 14y = 14, which gives y = 1. This is valid but does not represent a general solution.
2. Option b (6y): 14y - 6y = 8
- This simplifies to 8y = 8, giving y = 1. Again, this is valid but specific.
3. Option c (3y): 14y - 3y = 8
- This simplifies to 11y = 8, giving y = 8/11, which is valid but not general.
Conclusion
Since none of the options provide a universally applicable solution for any value of y (as x varies based on y), the correct answer is option d) None of these. The value to be subtracted from 14y to equal 8 is dependent on the value of y itself.
To determine what should be subtracted from 14y to yield a result of 8, we can set up the equation:
14y - x = 8
Here, x represents the value we need to find.
Rearranging the Equation
To find x, we can rearrange the equation:
x = 14y - 8
This means that the value we need to subtract from 14y is not a constant but rather depends on the variable y.
Evaluating the Options
Now, let's examine the options provided:
- a) 6: This is a constant and does not depend on y.
- b) 6y: This is a term with y, but let's check if it fits the equation.
- c) 3y: Similar to option b, but we need to check its validity.
- d) None of these: This suggests that none of the previous options is correct.
Substituting Options
1. Option a (6): 14y - 6 = 8
- This implies 14y = 14, which gives y = 1. This is valid but does not represent a general solution.
2. Option b (6y): 14y - 6y = 8
- This simplifies to 8y = 8, giving y = 1. Again, this is valid but specific.
3. Option c (3y): 14y - 3y = 8
- This simplifies to 11y = 8, giving y = 8/11, which is valid but not general.
Conclusion
Since none of the options provide a universally applicable solution for any value of y (as x varies based on y), the correct answer is option d) None of these. The value to be subtracted from 14y to equal 8 is dependent on the value of y itself.
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