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  
 
0
91
1
avatar

What is the ratio of x  to  y if: \(\frac{10x-3y}{13x-2y} = \frac{3}{5}\)? Express your answer as a common fraction.

 

 

How would I go about solving this problem

 Mar 27, 2019
 #1
avatar
+1

 

First, I'd multiply both sides by 5 and then multiply both sides by (13x - 2y)

Sometimes this is called cross-multiplying. 

 

the result of cross-multiplying is        (5)(10x - 3y) = (3)(13x -2y)

 

multiply it out                                       50x -15y = 39x - 6y 

 

put like unknowns together                  50x - 39x = 15y - 6y

 

combine/subtract terms                            11x = 9y

 

divide both sides by y                                11x/y = 9

 

divide both sides by 11                                x/y = 9/11     the ratio of x to y is 9 to 11

 Mar 27, 2019

8 Online Users