About the System of Equations Calculator
A system of linear equations is a set of equations that must all be true at once. Two equations in x and y are two straight lines, and the solution is where they cross; parallel lines mean no solution, and the same line twice means infinitely many.
The calculator reads the equations, builds the augmented matrix and row-reduces it with exact fractions, listing each row operation. It reports a unique solution, no solution or the general solution with free variables, shows Cramer’s rule determinants for square systems, checks every equation and draws the lines for two unknowns.