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Question

Question 1

In the following question out of the four options only one is correct, write the correct answer

The solution of which of the following equations is neither a fraction nor an integer?

(a) 3x + 2 = 5x + 2

(b) 4x – 18 = 2

(c) 4x + 7 = x + 2

(d) 5x – 8 = x + 4

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Solution

For option (a)
Given linear equation is 3x+2=5x+2
3x5x=222x=02x2=02x=0
Hence, x=0 is an integer.
For option (b)
Given linear equation is 4x-18=2
4x=2+184x=20x=5
Hence, x=5 is a positive integer.
For option (c)
Given linear equation is 4x+7=x+2
4xx=273x=5x=53
Hence, x=53 is neither a fraction nor an integer.
For option (d)
Given linear equation is 5x-8=x+4
5xx=4+84x=12x=3
Hence, x=3 is a positive integer.
From the above it is clear that, option (c) satisfies the condition.


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