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

Data_LG2
 one year 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
 one year 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

Data_LG2
 one year ago
Best ResponseYou've already chosen the best response.0AAHhHHH! got it thanks (AGAIN)! :)
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