System of Equations Calculator
Type one equation per line, with any letters as variables. The system is solved by Gauss-Jordan elimination with exact fractions.
How to use it
- Type the equations, one per line.
- Check the matrix form and the solution as you type.
- If there are infinitely many solutions, read the general solution.
Frequently asked questions
How many solutions can a linear system have?
Exactly one, none or infinitely many. It has one when the rank equals the number of unknowns, none when the equations contradict each other, and infinitely many otherwise.
Which method is used?
Gauss-Jordan elimination on the augmented matrix, with exact fractions. It gives the same answer as substitution or Cramer's rule, and also works when there is no single solution.
How do I type the equations?
Write each term as a number and a letter, such as 2x, -y, 1/2z or 3*a; terms can be on both sides of the equals sign. The variables can be any letters.
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