Question

What is the solution of the proportion...

w + 14/ 4w + 6 = 3/4

Answer 1

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Answer 2

Since you described it as a proportion, I am guessing that this is what you meant:
\(\dfrac{w+14}{4w+6}=\dfrac{3}{4}\)

Answer 3

yes thats what I meant

Answer 4

The equation editor can help you to avoid confusion.

So, to solve a proportion, you cross multiply.

Answer 5

i know how to cross multiply, but im confused with the w and the 4w

Answer 6

What did you get when you cross multiplied?

Answer 7

18 and 56?

Answer 8

I wish they would allow the use of colors. Instead I will demonstrate in a few steps....

Answer 9

Then distribute.

Answer 10

so then you get..

4w + 56 = 12w +18

Answer 11

Yes, and then solve for w.

Answer 12

So the answer is: w=4.5

thank you

Answer 13

REcheck your calculations....

Answer 14

I got w=4.75

Answer 15

oh i found my mistake i got 36/8 instead of 38/8

Answer 16

Great Job! You can always check your own answers by plugging your answer for x back into the original equation.
\[\dfrac{4.75+14}{4w+6}=\dfrac{3}{4}\]
\[\dfrac{4.75+14}{4(4.75)+6}=\dfrac{3}{4}\]
\[\dfrac{18.75}{19+6}=\dfrac{3}{4}\]
\[\dfrac{18.75}{25}=\dfrac{3}{4}\]
\[0.75=0.75\]