Solve for the following equation for Z.

T=1/5 (x-y+z)

T = 1/5 (x - y + z)

First, let's get rid of the 1/5. To do this, you can multiply both sides by the reciprocal, or 5/1.

(5/1) T=[ (5/1) 1/5] (x-y+z)

5T = x - y + z

Now subtract x from both sides.

5T - x = - y + z

Add y to both sides.

5T - x + y = z

So the answer is:

z = 5T - x + y