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Anyone want to help me get started? I am pretty sure I can do the rest on my own.

Represent the system in matrix form

Yep, that's what I did.

How do I go on from there?

take the determinant of the coefficient matrix, and set it equal to zero.

Woah woah!!! We haven't learned what a determinant is yet. :P .

okay.
how about gauss-jordan reduction?

Yeah. We learned that.

Elimination?

yup.

3y-3z=-a+2 ?

not 3y+3z = -a + 2 ?

Yeah. My mistake.

Allright, what next?

use that equation with equation 1 to eliminate both y and z.

1 sec.

THat dosen't eliminate it. It makes it bigger.

bx + 3y + 3z = a
3y + 3z = 2 - a
subtract.

I used substitution instead. Should till be valid right?

or if you wish to substitute...

that's valid too.

bx + (2-a) =a
bx = 2a - 2

|dw:1358650895030:dw|

you're not to eliminate a, but y and z.

Right.

Lets us elimination then lol.

bx=2a-2?

yup.

Now would I solve for a and substitute this into equation 2?

err. i mean put b = 0.

Why can I put 1?

for a*

Ohh never mind. I see why.

For infinitely many solutions I would make 0=0 right?

right about that.

unique solution when b is not equal to zero.

and a is 1 right?

any value of a for as long as b not zero will yield a unique solution

Thanks so much!

yw.