NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Multiple Choice QuestionsQuestion 7
Class 6 - Mathematics - Unit 7: Algebra - Multiple Choice Questions
Question. 7
Which of the following equations has x = 2 as a solution?
(A)
x + 2 = 5
(B)
x – 2 = 0
(C)
2x + 1 = 0
(D)
x + 3 = 6
Detailed Answer with Explanation:
Step-by-step check by substituting x = 2 in each option:
-
Option A: (x + 2 = 5)
Put (x = 2)
(2 + 2 = 4)
But the right side is (5). Since (4 eq 5), not a solution.
-
Option B: (x - 2 = 0)
Put (x = 2)
(2 - 2 = 0)
The right side is (0). Since (0 = 0), this is a solution.
-
Option C: (2x + 1 = 0)
Put (x = 2)
(2 imes 2 + 1 = 4 + 1 = 5)
The right side is (0). Since (5 eq 0), not a solution.
-
Option D: (x + 3 = 6)
Put (x = 2)
(2 + 3 = 5)
The right side is (6). Since (5 eq 6), not a solution.
Conclusion: Only Option B ((x - 2 = 0)) is true for (x = 2).