SOLUTION: hello, i need help solving this equation for z: 6xy+12xz+9yz=3xyz, solve for z. (i tried to solve it myself and got x=7, but im pretty sure my answer is incorrect so if you c

Question 353872: hello, i need help solving this equation for z:
6xy+12xz+9yz=3xyz, solve for z.
(i tried to solve it myself and got x=7, but im pretty sure my answer is incorrect so if you could help me that would be great)
Thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How did you get 7?
-------------------
6xy+12xz+9yz=3xyz, solve for z.
Get all terms with a z on one side.
12xz + 9yz = 3xyz - 6xy
12xz + 9yz - 3xyz = - 6xy
Factor out the z
z*(12x + 9y - 3xy) = -6xy
Divide by the polynomial
z = -6xy/(12x + 9y - 3xy)
Reduce
z = -2xy/(4x + 3y - xy)

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