System of Linear Equations Solver

Solve 2 to 8 simultaneous linear equations by entering the augmented matrix. Detects singular systems with no unique solution.

Runs on your device

Result

Results appear here after you select “Solve”.

What it does

For 2x + y = 5 and x − y = 1, enter "2 1 5" and "1 -1 1": coefficients first, constant last. Useful for Kirchhoff mesh and nodal analysis.

How to use it

  1. Write each equation as a row: coefficients then the constant.
  2. Solve.
  3. Read x₁, x₂ … in order.

Example

Solution: x₁ = 2, x₂ = 1. Select Try an example above to see it.

When it helps

  • Mesh and nodal circuit analysis.
  • Balancing chemical equations.
  • Algebra homework.

Questions

What if there are infinitely many solutions?

The solver reports that there is no unique solution. Check whether two equations are multiples of each other.

Can I use fractions?

Yes, enter them as 1/3 and so on.

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