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AlgebraPair of Linear Equations

Consistency Ratio Checker

Compare a₁/a₂, b₁/b₂ and c₁/c₂ to classify the system.

Controls

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Live result

Classification
Unique solution (intersecting)
Consistent?
Consistent
Two lines — intersecting, parallel or coincidentClassification: Unique solution (intersecting)
compare a₁/a₂, b₁/b₂, c₁/c₂
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Unique: a₁/a₂ ≠ b₁/b₂. Infinite: all three ratios equal. None: first two equal but third different.

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