Solving systems of linear equations

AI Thread Summary
The discussion revolves around solving a system of linear equations represented by three equations. Participants agree that there is only one unique solution, which is x = -1, y = 4, and z = -7. The confusion arises regarding the requirement to find a general solution and two particular solutions when only one solution exists. It is suggested that there may be an error in the problem statement itself. The consensus is that without additional parameters, the task cannot be completed as requested.
Panphobia
Messages
435
Reaction score
13

Homework Statement


x + 3y + z = 4
2x + 2y + z = -1
2x + 3y + z = 3

Find the general solution, and two particular solutions.


The Attempt at a Solution


y = 4; x = -1; z = -7; if I am not mistaken. So how am I supposed to find a general and two particular solutions if there is only one solution?
 
Physics news on Phys.org
Panphobia said:

Homework Statement


x + 3y + z = 4
2x + 2y + z = -1
2x + 3y + z = 3

Find the general solution, and two particular solutions.


The Attempt at a Solution


y = 4; x = -1; z = -7; if I am not mistaken. So how am I supposed to find a general and two particular solutions if there is only one solution?

You can't. There is only one solution. Must be an error in the problem statement.
 
yeah there is only one unique solution.
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

Prove that these three ratios are equivalent
Replies
11
Views
2K
How to Predict Outcomes of New Equations Without Solving for Variables?
Replies
18
Views
3K
Find the solutions of ## 7x+3y\equiv 6\pmod {11} ##.
Replies
2
Views
1K
Solving a system of linear equations
Replies
22
Views
4K
Find the solutions of the following system of congruences
Replies
2
Views
1K
Rationalize the denominator: ##\sqrt{\dfrac{1}{2x^3y^5}}##
Replies
6
Views
2K
How Do You Solve Systems of Linear Equations with Parameters?
Replies
2
Views
2K
Can this system of inequalities be solved for x?
Replies
5
Views
1K
Solve System of Equations: l, λ & x,y,z
Replies
17
Views
2K
Is the Relation Defined by 5 Dividing (2x + 3y) an Equivalence Relation on Z?
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top