How do you solve #\frac { v - 8} { 1} = \frac { v + 4} { 3}#?

1 Answer
Mia
Nov 22, 2016

#x=14#

Explanation:

The equation of two fractions is solved by applying the following property:
#" "#
#If " "color(blue)(a/b = c/d)" "then" "color(blue)(axxd = cxxd)#
#" "#
#(v-8)/1=(v+4)/3#
#" "#
#rArrcolor(blue)((v-8)xx3=1xx(v+4))#
#" "#
#rArr3v-24=v+4#
#" "#
#rArr3v-v=24+4#
#" "#
#rArr2v=28#
#" "#
#rArrv=28/2=14#
#" "#
Hence,#" "x=14#

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