NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Multiple Choice QuestionsQuestion 9
Class 6 - Mathematics - Unit 7: Algebra - Multiple Choice Questions
Question. 9
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
Detailed Answer with Explanation:
Check each option for an integer value of x.
Option A: (x + 1 = 1)
Subtract (1) from both sides.
(x = 0)
(0) is an integer.
Option B: (x - 1 = 3)
Add (1) to both sides.
(x = 4)
(4) is an integer.
Option C: (2x + 1 = 6)
Subtract (1) from both sides.
(2x = 5)
Divide both sides by (2).
(x = dfrac{5}{2})
(dfrac{5}{2}) is not an integer. ❌
Option D: (1 - x = 5)
Subtract (1) from both sides.
(-x = 4)
Multiply both sides by (-1).
(x = -4)
(-4) is an integer.
Conclusion: Only Option C gives a non-integer value of (x). So, the equation that does not have an integer solution is Option C.