We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
216
2
avatar+850 

If the ratio of  2x - y to x + y is 2 to 3, what is the ratio of x  to y ? Express your answer as a common fraction.

 Aug 17, 2018
 #1
avatar
+3

 2x + 2y =6x -3y, solve for x/y
2x - 6x = -3y -2y
-4x = -5y
-4x / -5y =1
x/y =5/4

 Aug 17, 2018
 #2
avatar+28064 
+3

As follows:

 

  \(\text{Start as follows: }\frac{2x-y}{x+y}=\frac{2}{3}\\ \text{ Then multiply both sides by }3(x+y)\\ 3(2x-y)=2(x+y)\text{ or }6x-3y=2x+2y\\\text{Collect like terms together: }4x=5y\\\text{Divide both sides by }4y\\\frac{x}{y}=\frac{5}{4}\)

.
 Aug 17, 2018

13 Online Users

avatar