SOLUTION: my question is this: v=(50t)/(t+5), solve of t. i can not seem to figure it out, my instructor gave me the answer as t=(-5v)/(v-50). I can not get this answer to save my life

Algebra ->  Average -> SOLUTION: my question is this: v=(50t)/(t+5), solve of t. i can not seem to figure it out, my instructor gave me the answer as t=(-5v)/(v-50). I can not get this answer to save my life      Log On


   

Question 965906: my question is this:
v=(50t)/(t+5), solve of t.
i can not seem to figure it out, my instructor gave me the answer as t=(-5v)/(v-50). I can not get this answer to save my life! Please help so i can learn the steps to get this answer for future questions that are alike. Thank you!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+v+=+%28+50t+%29+%2F+%28+t+%2B+5+%29+
I could not even find an example of
this in an algebra book, so I tried this:
+1%2Fv+=+%28+t+%2B+5+%29+%2F+%28+50t+%29+
+1%2Fv+=+t%2F%2850t%29+%2B+5%2F%2850t%29+
+1%2Fv+=+1%2F50+%2B+1%2F%2810t%29+
+1%2F%2810t%29+=+1%2Fv+-+1%2F50+
+10t+=+1+%2F+%28%28+1%2Fv+-+1%2F50+%29%29+
+t+=+1+%2F+%28+10%2Fv+-+1%2F5+%29+
Multiply top and bottom by +5v+
+t+=+5v+%2F+%28+50+-+v+%29+
---------------------
If you multiply top and bottom by +-1+
+t+=+-5v+%2F+%28+v+-+50+%29+
whew!