Solution of a system of linear equations using Cramer's method

Solution of linear equations using Cramer's method significantly speeds up manual calculations. Engaging in calculations for practical tasks like transportation planning, equipment loading, and production planning, the online calculator allows you to get the result in almost half a minute. Time is only spent on entering the coefficients of the linear equations into the respective fields.

Cramer's method, according to the definition of the theorem named after it, uses determinants denoted by the Greek letter delta for solving linear equations. A feature of the systems of linear equations that need to be solved is that the number of unknowns must match the number of equations.

An important mandatory condition is that the determinant should not be zero. For example: determinant (delta x1) = b1 x a22 – a12 x b2. determinant (delta x2) = a11 x b2 – b1 x a21.

Unknown value X1 can be found by dividing (delta x1) by (delta), X2, respectively, by dividing (delta x2) by (delta).