NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - True or False Questions

Question 42

First equation: \(x + 1 = 0\)

1. Subtract \(1\) from both sides: \(x + 1 - 1 = 0 - 1\)
2. Simplify: \(x = -1\)

Second equation: \(2x + 2 = 0\)

1. Subtract \(2\) from both sides: \(2x + 2 - 2 = 0 - 2\)
2. Simplify: \(2x = -2\)
3. Divide both sides by \(2\): \(\dfrac{2x}{2} = \dfrac{-2}{2}\)
4. Simplify: \(x = -1\)

Conclusion: Both equations give the same solution, \(x = -1\). So the statement is true.