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

Answer 1

For option (a)
Given linear equation is 3x+2=5x+2
$\Rightarrow 3x-5x=2-2\Rightarrow -2x=0\Rightarrow \frac{-2x}{-2}=\frac{0}{-2}\therefore x=0$
Hence, x=0 is an integer.
For option (b)
Given linear equation is 4x-18=2
$\Rightarrow 4x=2+18\Rightarrow 4x=20\therefore x=5$
Hence, x=5 is a positive integer.
For option (c)
Given linear equation is 4x+7=x+2
$\Rightarrow 4x-x=2-7\Rightarrow 3x=-5\therefore x=\frac{-5}{3}$
Hence, $x=\frac{-5}{3}$ is neither a fraction nor an integer.
For option (d)
Given linear equation is 5x-8=x+4
$\Rightarrow 5x-x=4+8\Rightarrow 4x=12\therefore x=3$
Hence, x=3 is a positive integer.
From the above it is clear that, option (c) satisfies the condition.