TheAlgorithms/Python · error · ValueError
No solution. (Inconsistent system)
Error message
No solution. (Inconsistent system)
What it means
Error "No solution. (Inconsistent system)" thrown in TheAlgorithms/Python.
Source
Thrown at matrix/cramers_rule_2x2.py:75
raise ValueError("Please enter a valid equation.")
if equation1[0] == equation1[1] == equation2[0] == equation2[1] == 0:
raise ValueError("Both a & b of two equations can't be zero.")
# Extract the coefficients
a1, b1, c1 = equation1
a2, b2, c2 = equation2
# Calculate the determinants of the matrices
determinant = a1 * b2 - a2 * b1
determinant_x = c1 * b2 - c2 * b1
determinant_y = a1 * c2 - a2 * c1
# Check if the system of linear equations has a solution (using Cramer's rule)
if determinant == 0:
if determinant_x == determinant_y == 0:
raise ValueError("Infinite solutions. (Consistent system)")
else:
raise ValueError("No solution. (Inconsistent system)")
elif determinant_x == determinant_y == 0:
# Trivial solution (Inconsistent system)
return (0.0, 0.0)
else:
x = determinant_x / determinant
y = determinant_y / determinant
# Non-Trivial Solution (Consistent system)
return (x, y)
View on GitHub (pinned to f5988cc097)
Solutions
- The system is inconsistent; check the equations for contradictory constraints.
When it happens
Trigger: Thrown at matrix/cramers_rule_2x2.py:75 when the library encounters an invalid state.
Common situations: See trigger scenarios.
AI-assisted analysis of TheAlgorithms/Python@f5988cc097 (2026-08-14).
Data as JSON: /api/errors/962029b66d94a888.
Report an issue: GitHub.