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Suppose  Consider the following system of linear equations. x + y + z = α, x + βy + z = γ, x + y + αz = β. If this system has at least one solution, then which of the following statements is (are) true?
  • a)
    If α = 1 then γ = 1
  • b)
    If β = 1 then γ = α
  • c)
    If β  ≠ 1 then α = 1
  • d)
    If γ = 1 then α = 1
Correct answer is option 'A,B'. Can you explain this answer?
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SupposeConsider the following system of linear equations.x + y + z = α, x + βy + z = γ, x + y + αz = β.If this system has at least one solution, then which of the following statements is (are) true?a)If α = 1 then γ = 1b)If β = 1 then γ = αc)If β ≠ 1 then α = 1d)If γ = 1 then α = 1Correct answer is option 'A,B'. Can you explain this answer?
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