System of linear equations

Two equations in two unknowns

The following is a system of two linear equations in the two unknowns `x` and `y`:

`x-y=1`

`3x+4y=6`.

A solution to the system is a pair (`x`, `y`) of numbers that satisfy both equations.

Each of these equations represents a line in the xy-plane, so a solution is a point in the intersection of the lines.