Systems of equations solver

Solve systems of two or three linear equations by substitution or elimination.

Eq. 1
Eq. 2

Solving systems

Find values that satisfy all equations simultaneously. A 2-variable system is two lines — the solution is their intersection.

Methods

Substitution: Solve one equation for a variable, plug into the other. Elimination: Add/subtract equations to eliminate a variable. Matrix: Write as Ax = b and row reduce.

Types of solutions

One solution: Lines cross (consistent, independent). No solution: Parallel lines. Infinite: Same line.

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