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

1 Answer
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.