Final answer:
The question revolves around solving a system of three linear equations with three variables, using algebraic techniques such as substitution or elimination.
Step-by-step explanation:
The system of equations provided can be solved using methods such as substitution, elimination, or matrix operations. The equations given are:
- x + y + z = 1
- 2x + 4y + 6z = 2
- -x + 3y - 5z = 11
To solve this system, we can perform operations such as eliminating one variable at a time or using matrices to find the values of x, y, and z that satisfy all three equations simultaneously.