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anonymous
 3 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.
anonymous
 3 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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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0k=2 will give you two coincident lines, so infinity solutions

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, 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
 3 years ago
Best ResponseYou've already chosen the best response.2because you have a linear dependent system (2 equations, 3 variables) so, no matter what value of k is, the system has infinite solution set

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0AAHhHHH! got it thanks (AGAIN)! :)
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