Ues the Gaussian elimination to find complete solution to the equation or show that none exist

5x+12y+z=10
2x+5y+2z=-1
x+2y+-3z=5

In google type:

Gaussian elimination online

When you see list of results click on:

karlscalculusorg/cgi-bin/linear.pl

When page be open in rectacangle:
How many equations? (2 to 7)
type 3 and click Go

then type your coefficients and click GO

After each step click Go

You will see solution step-by-step