Frequently Asked Questions
Everything you need to know about the System of Equations Solver.
What is a system of equations?
Two or more equations sharing the same variables; solving the system means finding the values that satisfy all equations simultaneously.
Which systems can this solve?
2×2 (two equations, two unknowns) and 3×3 (three equations, three unknowns) linear systems, entered via a coefficient grid.
Does it show working?
Yes. Every elimination and back-substitution step is shown in full so you can follow — and learn — the method, not just copy the answer.
What if the system has no solution?
It detects the inconsistency and explains it clearly — showing the contradiction row (e.g. 0 = 5) that makes the system impossible.
What if there are infinite solutions?
It detects the dependent system and displays the parametric form of the solution rather than a single answer.
Are fractional answers shown as fractions?
Yes. Results like x = 2/3 are displayed as fractions rather than rounded decimals, keeping the answer exact.
How does the solver work?
It uses Gaussian elimination with partial pivoting — a reliable method that handles near-singular systems correctly and scales to 3×3 without the instability of simple Cramer's rule.
Is there a verification step?
Yes. After solving, it substitutes the answer back into each original equation and confirms both sides match.
Is my input sent anywhere?
No. All computation runs locally in your browser; your equations never leave your device.
Does it work on mobile?
Yes, fully responsive; the coefficient grid, working, and solution display fit any screen without overflow.