I have three equations:

-3W + 1X -3Y + 4Z = -1

-2W + 3X + 5Y + 0Z = 12

-8W + 5X -1Y + 14Z = 10

Which I solved for using an old method I learned using multiplying one equation at a time until a variable disappears, then keep doing it over and over again.

My calculations ended in the following results for the variables

W= -8/7

X = 1/2

Y = 23/14

Z = 0

I’m not asking for verification (I've plugged in the variables and they make sense), rather can someone please show me to solve this system using the method of matrices?