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

Answer 1

See the entire solution process below:

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#

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Answer 2

Jace Anderson

To solve the equation ( \frac{12}{x} = \frac{3}{4} ), you can cross multiply to get ( 12 \times 4 = 3 \times x ), which simplifies to ( 48 = 3x ). Then, divide both sides by 3 to isolate ( x ), yielding ( x = 16 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.