anonymous
  • anonymous
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.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
k=2 will give you two coincident lines, so infinity solutions
anonymous
  • anonymous
yeah, that's my answer too but the book says that "the system will have an infinite number of solutions for \(any\ value\ of\ k\)"
Loser66
  • Loser66
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

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anonymous
  • anonymous
AAHhHHH! got it thanks (AGAIN)! :)

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