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

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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:

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

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

$28/3 = x$

$x = 28/3$

How do you solve 3/4 = 7/x3/4 = 7/x?