How do you solve #v+ \frac { 1} { 2} = 6#?

1 Answer
Mar 8, 2018

The answer is #x=5 1/2#.

Explanation:

First, subtract #1/2# from both sides. Then, get a common denominator on the left side, and subtract the fractions:

#v+1/2=6#

#v+1/2color(blue)-color(blue)(1/2)=6color(blue)-color(blue)(1/2)#

#vcolor(red)cancelcolor(black)(+1/2color(blue)-color(blue)(1/2))=6color(blue)-color(blue)(1/2)#

#v=6color(blue)-color(blue)(1/2)#

#color(white)v=6/1color(blue)-color(blue)(1/2)#

#color(white)v=12/2color(blue)-color(blue)(1/2)#

#color(white)v=(12-1)/2#

#color(white)v=11/2#

#color(white)v=(10+1)/2#

#color(white)v=10/2+1/2#

#color(white)v=5+1/2#

#color(white)v=5 1/2#