System Solver

Skill: systems-equations

System Solver

Enter two equations as a1x + b1y = c1 and a2x + b2y = c2. The solver classifies the system, shows elimination steps, and graphs both lines.

1 System Solver

Type the six coefficients. The solver computes the determinant, classifies the system, eliminates step by step, and draws the graph.

Input: a1x + b1y = c1, a2x + b2y = c2

Solution

Press Solve the system.
Blue: equation 1 · teal: equation 2 · gold: the solution.

2 The determinant decides

D = a1b2 − a2b1. If D ≠ 0 there is exactly one solution; if D = 0 the lines are parallel (no solution) or the same line (infinite).

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