Systems of Equations Solver
LivePhysics™
System Input
| x | y | z | | | b |
|---|---|---|---|---|
Results
Classification
Unique Solution
Determinant
-1
Solution
x = 2
y = 3
z = -1
Step-by-Step Row Reduction
1. Initial augmented matrix
2. Swap R1 and R2
3. R2 ← R2 - -0.6667·R1
4. R3 ← R3 - 0.6667·R1
5. Swap R2 and R3
6. R3 ← R3 - 0.2000·R2
7. Back substitution gives the solution
Reference Guide
Free systems solver for 2x2 through 5x5 systems. Gaussian elimination with step-by-step row operations and solution classification.
Gaussian Elimination
primary
Unique Solutions
secondary
No Solution
times
tertiary
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