SOLUTION: Is this a proportion: 15/27=2x/11 I don't think I've seen a proportion with a number next to the variable. Thank you

Algebra ->  Proportions -> SOLUTION: Is this a proportion: 15/27=2x/11 I don't think I've seen a proportion with a number next to the variable. Thank you      Log On


   

Question 669966: Is this a proportion:
15/27=2x/11
I don't think I've seen a proportion with a number next to the variable.
Thank you
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
15%2F27=2x%2F11 is a proportion.
You may have seen only very simple proportions before,
but proportions can get even more complicated.
There could be expressions like 2x, or x-5, or worse,
in one or more positions in a proportion.
2x just means 2 times x.
There is more than one way to solve that proportion, but all will lead to the same result.
If you would solve 15%2F27=y%2F11
by cross multiplying to get 15%2A11=27%2Ay,
You would do kind of the same thing for 15%2F27=2x%2F11.
You would cross multiply with the 2x=2%2Ax treated as a package
From 15%2F27=2x%2F11, you would cross multiply to get
15%2A11=27%2A%282x%29
Then,
15%2A11=27%2A%282%2Ax%29 --> 165=%2827%2A2%29%2Ax%29 --> 165=54%2Ax%29 --> 165%2F54=54%2Ax%2F54%29 --> 165%2F54=x%29
Now we can simplify 165%2F54 by dividing numerator and denominator by 3 to get
highlight%28x=55%2F18%29