What would the following system of equations look like in augmented matrix form?
x+y=5
3x-y=-1

Transforming equation systems into matrix form is fairly simple:
each column represents a variable, and each line represents an equation.
So in the first column, the NUMBERS MULTIPLYING by the X variables are put, in the second one the ones multiplying by Y, etc. The constants go after the vertical line, the last column
so we have:

So in a matrix, it will be the one on the picture