System of Equations =/ Help?

[Jet Black Flame]

This problem has me freaking out O_o Fractions always throw me off..

Solve the following system:

5/4x - 4/3y + 5/4z = 8
5/16x + 5/4y - 3/16z = 7
3/4x - y + 3/4z = -6

Can anyone solve this? I'd really appreciate it =]

[HallsofIvy]

If you don't like fractions, get rid of them! Multiply each equation by the least common denominator of all the fractions in that equation.

Here, that means, "multiply the first equation by 3(4)xyz= 12xyz, multiply the second equation by 16xyz, and multiply the third equation by 4xz". No more fractions! Of course you will now have xyz in each equation but that shouldn't be as bad as fractions!

(I'm assuming that when you write "5/4x" you mean "5/(4x)" so that the "x" is also in the denominator. If you really mean (5/4)x then it is far easier. Just multiply the first equation by 12, the second equation by 16, and the third equation by 4 and all will become clear! {of fractions, anyway!})