How do you solve #\frac { v + 1} { v } = \frac { 8} { 10}#?

1 Answer
Bill K.
Oct 5, 2017

#v=-5#

Explanation:

Cross-multiply to get #10(v+1)=8v#, or #10v+10=8v#. Now subtract #8v# from both sides and subtract #10# to get #2v=-10#. Diving both sides by #2# leads to #v=-5#.

You should check that it works by substitution:

#(v+1)/v=(-5+1)/(-5)=(-4)/(-5)=(cancel(-1)*4)/(cancel(-1)*5)=4/5=(2*4)/(2*5)=8/10#.

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