The discussion centers on solving a system of linear equations represented by the equations: x + 3y + z = 4, 2x + 2y + z = -1, and 2x + 3y + z = 3. Participants concluded that there is only one unique solution to the system, specifically x = -1, y = 4, and z = -7. The consensus indicates that the problem statement may contain an error, as it requests a general solution and two particular solutions despite the existence of a single solution.
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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?