[Ghoulish Delight]

[if the following is what you mean by "elimiation method" I appologize for repeating this]
The easiest way to do these is to multiply both sides of one of the equations so you can add it to or subtract it from one of the others. For instance:

Multipy eq2 by 2 to get 6x+4y-6z=-26

Now you can doe eq2 - eq1 which gives you 5y-7z=-2

Now, multiply eq3 by 6 and do eq1 - eq3. That gives you:

17y-11z=6



Now you have 2 equations and 2 variables. Solve those for y and z. Use those results to get x.