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anonymous

  • 2 years ago

A system of equations is given as follows: 1. x+y+2z=1 2. kx+2y+4z=k For what value of k does the system have an infinite number of solutions? Determine the solution to the system for this value of k.

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  1. RaphaelFilgueiras
    • 2 years ago
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    k=2 will give you two coincident lines, so infinity solutions

  2. anonymous
    • 2 years ago
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    yeah, that's my answer too but the book says that "the system will have an infinite number of solutions for \(any\ value\ of\ k\)"

  3. Loser66
    • 2 years ago
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    because you have a linear dependent system (2 equations, 3 variables) so, no matter what value of k is, the system has infinite solution set

  4. anonymous
    • 2 years ago
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    AAHhHHH! got it thanks (AGAIN)! :)

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