How do you solve #12/x=3/4#?

1 Answer
Feb 3, 2017

Answer:

See the entire solution process below:

Explanation:

First, multiply each side of the equation by #color(red)(4)color(blue)(x)# to eliminate the fractions while keeping the equation balanced:

#color(red)(4)color(blue)(x) xx 12/x = color(red)(4)color(blue)(x) xx 3/4#

#color(red)(4)cancel(color(blue)(x)) xx 12/color(blue)(cancel(color(black)(x))) = cancel(color(red)(4))color(blue)(x) xx 3/color(red)(cancel(color(black)(4)))#

#48 = 3x#

Now, divide each side of the equation by #color(red)(3)# to solve for #x# while keeping the equation balanced:

#48/color(red)(3) = (3x)/color(red)(3)#

#16 = (color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3))#

#16 = x#

#x = 16#