Final answer:
The question asks to solve a set of linear equations with three unknowns, using algebraic methods to find the unique solution of x, y, and z.
Step-by-step explanation:
The question deals with solving a system of linear equations with three unknowns. To find the values of the variables x, y, and z, one must use methods such as substitution, elimination, or matrix operations.
The provided equations 3x+5y+4z=13, 5x+2y+3z=-9, and a potential typo in the third equation (which is assumed to be 6x+3y+4z=-8) form a consistent and independent system, meaning they should have a unique solution if they are indeed linear and not parallel or coincident.