Question

Which of the following equations does not have a solution in integers?

• A. $x+1=1$
• B. $x-1=3$
• C. $2x+1=6$
• D. $1-x=5$

Answer 1

Answer: (C)

$2x+1=6$

A. $x+1=1$

$⟹x=1-1=0$, which is an integer

B. $x-1=3$

$⟹x=3+1=4$, which is an integer

C.$2x+1=6$

$⟹2x=6-1=5$

$⟹x=\frac{5}{2}$, which is not an integer

D.$1-x=5$

$⟹-x=5-1=4$,

$⟹x=-4$,which is an integer

$\therefore$ Eqn $2x+1=6$ does not have solution as an integer