How do you solve #\frac{6}{9} = \frac{4}{x-8}#?

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Answer 1 · 2018-04-27T21:39:21

#x = 14#

if #6/9 = 4/(x-8)#, then #9/6 = (x-8)/4#, since both are reciprocals of the original fractions.

if #9/6 = (x-8)/4#:

#(x-8) = (9 * 4)/6#

#= 36/6 = 6#

#x - 8 = 6#

#x = 6 + 8#

#= 14#

#x = 14#