Which of the following equations does not have a solution in integers?
Solving each of the equations given.
A. x + 1 = 1
Taking 1 to RHS and subtracting from 1.
⇒ x = 1- 1
⇒ x = 0
The solution is an integer.
B. x – 1 = 3
Taking 1 to RHS and adding to 3.
⇒ x = 3+1
⇒ x = 4
The solution is an integer.
C. 2x + 1 = 6
Taking 1 to RHS and subtracting from 6
⇒ 2x = 6 – 1
⇒ 2x = 5
Now taking 2 to RHS and dividing 5
⇒ x = 2.5
The solution is not an integer.
D. 1 – x = 5
Taking 1 to RHS and subtracting from 5
⇒ -x = 5 – 1
⇒ - x = 4
Multiplying both the sides by -1
⇒ x = - 4
The solution is an integer.