How do you solve #\frac { 9} { 2} = \frac { 10} { x }#?

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Answer 1 · 2017-08-07T01:23:05

See a solution process below:

First, "flip" the fractions:

#9/2 = 10/x# become:

#2/9 = x/10#

Now, multiply each side of the equation by #color(red)(10)# to solve the equation while keeping the equation balanced:

#color(red)(10) xx 2/9 = color(red)(10) xx x/10#

#20/9 = cancel(color(red)(10)) xx x/color(red)(cancel(color(black)(10)))#

#20/9 = x#

#x = 20/9#