• Support PF! Buy your school textbooks, materials and every day products Here!

Solving a system in terms of intersecting planes

  • Thread starter Tonyt88
  • Start date
62
0
1. Homework Statement

x + 4y + z = 0
4x + 13y + 7z = 0
7x + 22y + 13z = 1


2. Homework Equations



3. The Attempt at a Solution

x + 4y + z = 0
- 3y + 3z = 0
-6y + 6z = 1

x + 4y + z = 0
-y + z = 0
-6y + 6z = 1

Then whichever way I solve it I have 0=1 or 0=1/6, so where to go from here or is there just no solution?
 
Last edited:

Answers and Replies

HallsofIvy
Science Advisor
Homework Helper
41,734
893
First of all, the problem statement is NOT just
x + 4y + z = 0
4x + 13y + 7z = 0
7x + 22y + 13z = 1

That's not a "problem", that's a system of equations. What are asked to do with them?
 
62
0
Sorry I had only put it in the title of the thread.

Find all solutions of the linear system. Describe your solution in terms of intersecting planes.
 

Related Threads for: Solving a system in terms of intersecting planes

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
56K
Replies
2
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
14
Views
5K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
2
Views
7K
Top