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