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If the pair of linear equations x – y = 1, x + ky = 5 has a unique solution x = 2, y = 1, then the value of k is ______. - Mathematics

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Question

If the pair of linear equations x – y = 1, x + ky = 5 has a unique solution x = 2, y = 1, then the value of k is ______.

Options

  • – 2

  • – 3

  • 3

  • 4

MCQ
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Solution

If the pair of linear equations x – y = 1, x + ky = 5 has a unique solution x = 2, y = 1, then the value of k is 3.

Explanation:

We have,

`\implies` x – y = 1 and x + ky = 5

x = 2 and y = 1

`\implies` 2 + k = 5

`\implies` k = 3

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2022-2023 (March) Basic - Delhi Set 1
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