Q. 4

The solution of which of the following equations is neither a fraction nor an integer?
A. 2x + 6 = 0

B. 3x – 5 = 0

C. 5x – 8 = x + 4
D. 4x + 7 = x + 2


Answer :

Let us solve the equations:


(a). Given equation is 2x + 6 = 0


2x = –6 [transporting 6 to RHS]


[Dividing both sides by 2]


x = –3 (integer)


(b). Given equation is 3x – 5 = 0


3x = 5 [transporting 5 to RHS]


[Dividing both sides by 3]


(fraction)


(c). Given equation is 5x – 8 = x + 4


2 5x = x + 4 + 8 [transporting 8 to RHS]


5x = x + 12


5x – x = 12 [transporting x to LHS]


4x = 12



x = 3 (integer)


(d). Given equation is 4x + 7 = x + 2


4x = x + 2 – 7 [transporting 8 to RHS]


4x = x – 5


4x – x = –5 [transporting x to LHS]


3x = –5



(neither a positive fraction nor an integer)

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