Hint

Eliminate y first, because that won't be hard. Then find x and z from the resulting two variable equation. Finally, find y from one of the original equations.

Hint

Eliminate x first, then y, to find z. Work from the two variable equation to get y, then use y and z to find x.

Hint

Go eliminate y first, then z.

Hint

Add the first two equations together.

Hint

Check the first and third equations first.