How do you solve for #z# in the equation: #T= \frac { z - q } { s } #?

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Answer 1 · 2018-04-10T23:25:39

#z=Ts+q#

Isolate #z#:

#T=(z-q)/s#

#Ts=z-q#

#z=Ts+q#

Answer 2 · 2018-04-11T00:45:56

#z = Ts + q#

Here's how I did it:

#T = (z-q)/s#

To solve for #z#, we have to make #z# by itself. To do so, we have to move everything to the other side of the equation.

First, let's multiply both sides by #s#:
#T color(red)(*s) = (z-q)/cancel(s) cancel(color(red)(*s))#

#Ts = z-q#

Now, add #q# to both sides of the equation:
#Ts quadcolor(red)(+quadq) = z - q quadcolor(red)(+quadq)#

#Ts + q = z#

Therefore,
#z = Ts + q#

Hope this helps!