# System of linear equations

A system of linear equation is a collections of linear equation with the same set of variables.

A way to solve a system of equations is with Cramer’s rule.**To solve the 2×2 matrix:**

First find the determinant:

If the determinant is not zero:

>

>

>

>

> V = (X, Y)

If the determinant is zero (a/a’=b/b’):

> If a/a’ = c/c’: V = ((c-b*µ)/a, µ)

> else: V = ∅

**Try it yourself:**

X + Y =

Output: