How do you solve #\frac{6}{5} = \frac{2}{n + 5}#?
1 Answer
Sep 30, 2016
Explanation:
-
Multiply both sides by the left denominator
#6/5 * 5 = 2/(n+5) * 5#
The fives on the left will cancel leaving:
#6 = 2/(n+5) * 5# -
Multiply both sides by the right denominator
#6 * (n+5) = 2/(n+5) * 5 * (n+5)#
The#(n+5)# on the right will cancel leaving:
#6 * (n+5) = 2 * 5#
#6 * (n+5) = 10# -
Expand the bracket on the left side by multiplying each term inside the bracket by the number outside
#6n + 30 = 10# -
Subtract 30 from both sides
#6n + 30 - 30 = 10 - 30#
#6n = -20# -
Divide both sides by 6
#(6n)/6 = -20/6#
#n = -10/3#
