variable manipulation ( algebra 1 or 2)

Question

 if (2x-y)/(x+y)= (3/4) then (x/y) is 

 

f (2/5)

 

g(3/4)

 

h (7/2)

 

J(7/3)

 

K (7/5) 

 

Please help

Answer 1

(2x - y)      3

--------- = ----

(x + y)       4

 

Begin by cross multiplying

4(2x - y) = 3(x + y)

 

Then use the distributive property

 

8x - 4y = 3x + 3y

 

Bring the terms with x to one side, and the terms with y to the other: subtract 3x from both sides

5x - 4y = 3y

add 4y to both sides

5x = 7y

 

From here, you want to solve for x/y so divide both sides by y, then divide both sides by 5.

 

 

 

Answer 2

(2x - y)/(x + y) = 3/4

4(2x - y) = 3(x + y)

8x - 4y = 3x + 3y

5x = 7y

x = 7y/5

x/y = 7/5

Answer 3

(2x - y)/(x + y) = 3/4

 

Cross multiply to obtain:  8x - 4y = 3x + 3y

 

So, 5x = 7y

 

         x = (7/5)y

 

Therefore, x/y = (7/5)y/y = 7/5

 

The answer is choice (k)