Upper secondary
Two linear equations
Two linear equations: formula, units and explained result. No account required. Processing stays in your browser.
ax + by = c; dx + ey = f; D = ae − bd
Cramer’s rule. Singular systems require a consistency analysis.
How to use this calculator
- Identify the quantities and convert them to the units shown.
- Apply the formula first, then compare with the substitution and result.
- Check the assumptions and whether the order of magnitude makes sense.
Levels are approximate topic groupings, not a complete curriculum for every country. Numerical results are rounded and may lose precision for extreme or nearly singular inputs.
A practical example
Use these sample inputs to check the calculation before entering your own values.
- a
- 2
- b
- 1
- c
- 5
- d
- 1
- e
- -1
- f
- 1
Result for this example
- x
- 2
- y
- 1