Mathematics · Linear Equations

For which values of λ does the pair of linear equations λx + y = λ 2 and x + λy = 1 have a unique solution?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1All real values of λ except ±1✓
2λ ≠ 0
3λ ≠ -1
4λ = 1

Correct answer

All real values of λ except ±1

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For which values of λ does the pair of linear equations λx + y = λ 2 and x + λy = 1 have a unique solution?

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For which values of &lambda; does the pair of linear equations &lambda;x + y = &lambda; 2 and x + &lambda;y = 1 have a unique solution?

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For which values of λ does the pair of linear equations λx + y = λ 2 and x + λy = 1 have a unique solution?