How do you solve #6/9=8/x#?

1 Answer
Feb 10, 2017

Answer:

See the entire solution process below:

Explanation:

First, multiply each side of the equation by the common denominator of the two fractions - #color(red)(9)color(blue)(x)#:

#color(red)(9)color(blue)(x) xx 6/9 = color(red)(9)color(blue)(x) xx 8/x#

#cancel(color(red)(9))color(blue)(x) xx 6/color(red)(cancel(color(black)(9))) = color(red)(9)cancel(color(blue)(x)) xx 8/color(blue)(cancel(color(black)(x)))#

#6x = 72#

Now, divide each side of the equation by #color(red)(6)# to solve for #x# while keeping the equation balanced:

#(6x)/color(red)(6) = 72/color(red)(6)#

#(color(red)(cancel(color(black)(6)))x)/cancel(color(red)(6)) = 12#

#x = 12#