Question

what is the solution of the system represented by the matrix?

2 4 -3 |-3
1 -2 -7 | 5
3 5 0 | 3

Answer 1

you are simply going to have to process your elementary row operations unless youve got a ti83 or similar

Answer 2

if you get it into row echelon form, then back filling solves the rest

or you can continue to get it into row reduced eschelon form and read the solution from the rightside column

Answer 3

You can also use the Linear Algebra Toolkit

http://www.math.odu.edu/~bogacki/cgi-bin/lat.cgi

This is basically a bunch of calculators dealing with linear algebra and matrices. They also show each step to get to the answer.