How do you solve #3/4 = 7/x#?

Question

6455 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-12T01:16:10

See a solution process below:

Because both sides of the equation are pure fractions we can flip both fractions to rewrite the equation as:

#4/3 = x/7#

Now, multiply each side of the equation by #color(red)(7)# to solve for #x# while keeping the equation balanced:

#color(red)(7) xx 4/3 = color(red)(7) xx x/7#

#28/3 = cancel(color(red)(7)) xx x/color(red)(cancel(color(black)(7)))#

#28/3 = x#

#x = 28/3#