At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
easy get rid of your Z variables first
add 1st equation to your 3rd equation
then add 2nd equation to your 3rd equation
this way you have 2 equations with x and y
solve them like you would a regular x and y system
Once you know x or y sub it into 2 of your equations, maybe 2nd and 3rd and solve for the remaining variables.
you could do a matrix on your calculator too :)
I just tried to explain this to someone and it took me like half an hour haha. I highly recommend watching this video.
your options are 1)substitution 2)subtraction/elimination 3)row reducing an augmented matrix. I guess method 2 and 3 are the same thing.
for a small system of equations I would use method 1, for a large one I could use method 3.