What is the value of #T# in the equation: #1/T - 1/200 = .010#?

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Answer 1 · 2018-04-18T14:08:49

See below.

To find the value of #T#, we need solve for, or isolate the variable #T#.

We do this by using the reverse operations as given in the equation.

Knowing this, we can being to find #T#:

#1/T - 1/200 = 0.010#

#=> 1/T =0.010 + 1/200#

Here we need to change everything into similar form, so we should now have:

#=> 1/T = 1/100 + 1/200#

Now we need common denominators:

#=> 1/T = 2/200 + 1/200#

Combine:

#=> 1/T = 3/100#

From here, all we need to do is cross-multiply:

#=> 3T = 100#

Solve for #T#:

#=> T=100/3#