System of equations Solver

Solve systems of linear equations step-by-step using Cramer's rule — see every determinant, every calculation, every answer.

Unlike calculators that only show the final result, this app walks you through the complete solution process: the main determinant, each variable's determinant, and the value of every unknown. If your answer differs from the app's, you can see exactly at which step.

SUPPORTED SYSTEM SIZES

• 2×2 — 2 equations, 2 unknowns
• 3×3 — 3 equations, 3 unknowns
• 4×4 — 4 equations, 4 unknowns
• 5×5 — 5 equations, 5 unknowns
• 6×6 — 6 equations, 6 unknowns

HOW IT WORKS

Select the system size, enter your coefficients and constants, and tap Solve. The app computes and displays:

• The main determinant (det)
• Each variable's determinant (det₁, det₂ … det₆)
• The coefficient matrix with clear layout
• The final value of every variable (X₁ through X₆)

When the main determinant equals zero, Cramer's rule does not apply — the app detects this automatically and tells you, so you know to switch to Gaussian elimination instead.

KEY FEATURES

Step-by-step solution
Every determinant is shown individually with its full calculation. Follow the math at your own pace or pinpoint exactly where your manual solution differs.

Built-in Cramer's rule theory
Tap the theory section on the main screen for a concise explanation of Cramer's rule — what it is, when it applies, and a fully worked example — all available offline, no internet needed.

Random fill
One tap fills all input fields with random values. Use it to explore the app, generate instant practice problems, or quickly test edge cases.

Share solution as image
Export the complete solution screen as an image and send it via any app on your device — useful for sharing with a classmate, submitting to a teacher, or saving your work.

Dark and light themes
Choose the theme that suits your environment. Your preference is saved and restored every time you open the app.

Works offline
The entire app — solver, theory, and all content — works without an internet connection.

WHO IS IT FOR?

• Students studying linear algebra or preparing for exams
• Anyone checking a hand-written solution
• Teachers creating or demonstrating worked examples
• Curious learners who want to understand how Cramer's rule works in practice

AVAILABLE IN 80+ LANGUAGES

The full interface is translated into more than 80 languages, including English, German, Spanish, French, Portuguese, Russian, Ukrainian, Hindi, Arabic, Chinese (Simplified & Traditional), Japanese, Korean, Italian, Polish, Turkish, Vietnamese, and many more.

Download free and start solving.