Final answer:
The question seems to relate to finding the general solution of a system using an augmented matrix which usually requires linear algebra techniques, but there's not enough information to provide the solution. The references indicate operations with vector components and dot products.
Step-by-step explanation:
To find the general solution of a system represented by an augmented matrix, one would typically use methods from linear algebra such as Gaussian elimination or Gauss-Jordan elimination. However, the question does not provide enough context or the actual entries of the augmented matrix to proceed with such a solution. The references to vector equations and scalars suggest operations involving vector components, the dot product, and the use of unit vectors in a rectangular coordinate system. Typically, from such equations, we would isolate variables and compare them to find the general solution.
If the original question related to finding components of a vector in terms of unit vectors, we would use the dot product properties, where Ả · Î = Ax, Ả · Ĵ = Ay and Ả ·  = Az to isolate and find the scalar components Ax, Ay, and Az of vector à respectively.