A system of linear equations consists of multiple linear equations. Linear equations with two variables
correspond to lines
in the coordinate plane, so this linear equation system is nothing more than asking if,
and if yes, where the two lines intersect. This implies it can have no solution (if the lines are parallel),
one solution (if they intersect) or infinitely many solutions (if the lines are equal).

There are three important ways to solve such systems: by insertion, by
equalization and by adding.

Equalization means you solve both equations for the same variable and then equalize them. This means, one variable remains and the calculation is then easy.

## Equation systems

This is the system of equations calculator of Mathepower. Enter two or more equations containing many variables. Mathepower tries to solve them step-by-step.