System of Linear Equations Solver
Result
Calculated result
-2.3333333333
Based on the values entered.
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System of Linear Equations Solver — free online calculator.
Formula
Cramer's Rule: D = a₁b₂ − a₂b₁ · x = (c₁b₂ − c₂b₁)/D · y = (a₁c₂ − a₂c₁)/D
- System of Linear Equations Solver calculates its result from A1, C2, A2, C1, D. It uses the formula Cramer's Rule: D = a₁b₂ − a₂b₁ · x = (c₁b₂ − c₂b₁)/D · y = (a₁c₂ − a₂c₁)/D. Change any input to recalculate the result instantly.
- The main inputs are A1, C2, A2, C1, D. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: System of Linear Equations Solver
Inputs
- A1: 2
- C2: 3
- A2: 4
- C1: 5
- D: 6
Using A1 = 2, C2 = 3, A2 = 4, C1 = 5, D = 6, the calculated result is -2.3333333333.
Sample result: Calculating…
Frequently asked questions
What does the System of Linear Equations Solver calculate?
System of Linear Equations Solver — free online calculator.
Which values should I enter?
Enter A1, C2, A2, C1, D using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Cramer's Rule: D = a₁b₂ − a₂b₁ · x = (c₁b₂ − c₂b₁)/D · y = (a₁c₂ − a₂c₁)/D.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.