How do you solve # 1/(3+x) = (1/3)/ x#?

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Answer 1 · 2016-03-26T14:57:14

#x = 3 / 2#

#1 / (3+x) = (1/3) / color(green)((x)#

#1 / (3+x) = (1)/(3 * color(green)((x))#

#1 / (3+x) = 1 / (3x)#

Cross multiplying:

#1 * (3x) = 1 * (3+x) #

#3x = 3 + x#

#3x - x = 3 #

#2x = 3 #

#x = 3 / 2#