Solve Ratio Question: (3a + 3b)/(a - b) with a/b = 2/5 | Get Homework Help

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To solve the expression (3a + 3b)/(a - b) given the ratio a/b = 2/5, first express 'a' in terms of 'b' as a = (2/5)b. Substituting this into the expression allows for simplification. The discussion also includes a separate problem involving the variables K, l, and m, with hints provided for solving ratios. Participants encourage showing calculations for clarity and understanding. The focus remains on solving ratio-based problems effectively.
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Homework Statement



Calculate: (3 a + 3 b)/(a - b) If a/b = 2/5

No attempts, I don't know how to solve this.

Help?
 
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welcome to pf!

hi blunted! welcome to pf! :smile:
blunted said:
a/b = 2/5

hint: so a = … ? :wink:
 
Oh my god :D

Thanks for the hint and the welcome :)
 
K + l + m = 34.
K/l = 1/4
l/m = 1/3

l = ?

Is it 8 ?
 
Last edited:
maybe it is and maybe it isn't :wink:

show your calculations! :smile:​

(same hint as before, btw)
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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