Femtobytes
Problem type

Solve a system of linear equations by row reduction

What it solves
Solve up to four linear equations in up to four unknowns by Gauss-Jordan elimination, with every row operation worked entry by entry. The system may have one solution, none, or infinitely many, and the answer is checked in every equation.
Subject
Linear Algebra
Topic
Row reduction and systems
Also called
simultaneous equations, system of equations, augmented matrix, solve a system
Your problem

Solve this system of linear equations.

2x+y−z=8−3x−y+2z=−11−2x+y+2z=−3\begin{aligned} 2 x + y - z &= 8 \\ -3 x - y + 2 z &= -11 \\ -2 x + y + 2 z &= -3 \end{aligned}
The augmented matrix
Equations3
Unknowns3
One row per equation. The last column holds the numbers on the right of the equals signs.
Invent a new one: