CBSE Class 10 Answered
When do we say that a linear equation with two variables vanishes?
Asked by Kartik | 29 Sep, 2012, 09:40: PM
Expert Answer
8xy ? 12y + 2x 3 = 4y (2x 3) + 1 (2x 3) = (2x 3) (4y + 1)
The value(s) of x such that the expression 8xy ? 12y + 2x 3 i.e. (2x 3) (4y + 1) vanishes for all values of y, means it is required to find the value(s) of x such that the value of the equation (2x 3) (4y + 1) will be zero irrespective of y (independent of y or for any value of y).
For any value of y, (4y + 1) may or may not be equal to zero.
Since, (2x 3) (4y + 1) = 0 and (4y + 1) may or may not be equal to zero so, (2x 3) = 0
i.e. x = 3
Or, x = 3/2
The correct answer is D.
Answered by | 29 Sep, 2012, 10:15: PM
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