Yes. The solver automatically detects nonlinear equations (containing x², xy, sqrt, etc.) and switches to a symbolic substitution engine. It solves for all real intersection points, verifies each solution, and plots the curves on the Graph tab.
Cramer's Rule computes each variable using determinants: xi = det(Ai) / det(A). Clean formula, ideal for 2×2 and 3×3 exams but doesn't scale beyond that. Gaussian Elimination applies row operations to the augmented matrix to reach row echelon form, then back-substitutes. Works for any size, and handles the det = 0 case where Cramer's Rule fails.
When det(A) = 0, the system is either inconsistent (parallel lines, no solution) or dependent (same line, infinitely many solutions). Try Gaussian Elimination — it identifies which case you have. For nonlinear systems, make sure Nerdamer loaded (check the browser console).
Click the + Add equation button below the equation rows. Enter three equations with three variables (e.g. x, y, z). The solver auto-detects the 3×3 system and applies your chosen method.
Yes — every linear method (Cramer's Rule, Gaussian Elimination, Substitution, Matrix Inversion) shows the complete trace: determinant expansions, row operations, substitution steps, and the final answer with verification. For nonlinear systems, the substitution path and residual check for each solution are shown.
Yes. Click the 📷 Scan button and upload (or drop in) a photo of handwritten or printed equations. The AI vision model extracts each equation, fills the rows automatically, and detects whether the system is linear or nonlinear. Works on phone snapshots, textbook pages, whiteboard photos, and worksheet scans.
Click the Practice Worksheet — 2,000+ systems with answer key button below the result. The worksheet engine generates printable problem sets across 4 difficulty tiers (basic, medium, hard, scholar) and 24 problem types — 2×2 and 3×3 linear, decimal coefficients, fractional, parameter-dependent, circuit/network-flow word problems, 4×4/5×5/6×6 systems, and more. Every problem and answer is SymPy-verified.
The problem set spans Algebra 1 (basic 2×2), Algebra 2 (3×3 and word problems), Precalculus (parameter analysis), AP Precalculus, and college Linear Algebra (4×4–6×6 systems, network flow, multi-parameter). Aligned with Common Core HSA-REI.C and CBSE/ICSE class 9–10 simultaneous equations. SAT, ACT, and JEE practice covered.