Homework Help Overview
The original poster presents a system of equations involving three variables, x, y, and z, and seeks to solve for x using a method referred to as the "expansion method." The equations provided are x + y + z = 1, x + y + 2z = 2, and x + y + 3z = 1.
Discussion Character
- Exploratory, Assumption checking, Problem interpretation
Approaches and Questions Raised
- Participants discuss the original poster's approach to calculating the determinant of a matrix derived from the system of equations. Some express confusion about the "expansion method" and its application, while others suggest alternative methods such as simple subtraction to analyze the system.
Discussion Status
The discussion is ongoing, with participants exploring different interpretations of the problem and the method mentioned. Some have provided insights into the determinant calculation, noting that it results in zero, which implies no unique solution exists for x. However, there is no consensus on the terminology or the method itself.
Contextual Notes
There is uncertainty regarding the definition and application of the "expansion method," and participants are questioning the assumptions made in the original poster's approach. Additionally, the presence of multiple potential values for z raises questions about the system's solvability.
