Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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.
 3 months ago
 3 months 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.
 3 months ago
 3 months ago

This Question is Closed

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

Data_LG2Best ResponseYou've already chosen the best response.0
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 months ago

Loser66Best ResponseYou've already chosen the best response.2
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
 3 months ago

Data_LG2Best ResponseYou've already chosen the best response.0
AAHhHHH! got it thanks (AGAIN)! :)
 3 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.