How do you solve for t in # s/t= z/v#?

Answer 1

#t=(vs)/z#

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It is perfectly allowed to turn the whole thing upside down. That way you get the #t# as a numerator (the top number of a fraction).

#t/s=v/z#

Now we need to get #t# on its own on one side of the equals and everything else on the other side.

So we need to 'get rid' of the #s#. For multiply or divide we do this by changing it to 1. If it was add or subtract we would change it to 0.

Multiply both sides by #s#

#s xx t/s=v/z xx s#

This is the same as

#s/s xx t=(vs)/z#

But #s/s =1#

#1 xx t =(vs)/z#

But #1xx t = t#

#t=(vs)/z#

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Answer 2

Avery Alexander

To solve for ( t ) in ( \frac{s}{t} = \frac{z}{v} ), you can cross multiply to isolate ( t ):

[ s \times v = t \times z ]

Then, divide both sides of the equation by ( z ) to solve for ( t ):

[ t = \frac{s \times v}{z} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.