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The equations x + 1 = 0 and 2x + 2 = 0 have the same solution. - Mathematics

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Question

The equations x + 1 = 0 and 2x + 2 = 0 have the same solution.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

Given equations,

⇒ x + 1 = 0   .....(i)

⇒ 2x + 2 = 0  .....(ii)

From equation (i), x + 1 = 0

⇒ x = – 1   .....[Transposing + 1 to RHS]

From equation (ii), 2x + 2 = 0

⇒ 2x = – 2   .....[Transposing + 2 to RHS]

⇒ x = `(-2)/2`  .....[Dividing both sides by 2]

⇒ x = – 1

Clearly, the solution of both the equation are same.

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Chapter 7: Algebra - Exercise [Page 111]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 7 Algebra
Exercise | Q 42 | Page 111

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