Math & Statistics · Tool #14
System of Equations Calculator
Solve systems of linear equations with multiple variables.
System Coefficients
Solve a₁x+b₁y=c₁ and a₂x+b₂y=c₂.
Determinant D = a₁b₂ − a₂b₁. A unique solution exists when D ≠ 0.
System Result
Solution pair and verification.
Solution
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Determinant
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Equation 1
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Equation 2
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How to use this calculator
What to enter
Enter or select the following as requested: a₁; b₁; c₁; a₂; b₂; c₂. Follow the units, valid ranges, examples, and options displayed beside each field.
What the result means
The result is calculated from the geometric measurements, equation coefficients, coordinates, angle, or statistical values entered. Check sign conventions, units, angle mode, coordinate order, valid domains, and whether multiple solutions are possible.
When to use it
Use this to solve or verify a math problem or measurement. Keep units consistent and review any stated domain restrictions or rounding before using the result in another calculation.