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

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Answer 1 · 2016-05-15T21:39:21

#t=(vs)/z#

#color(blue)("I am showing you the 'first principle' method upon which the")##color(blue)("'shortcut' method is based.")#

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#