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

 May 2, 2020
 #1
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10x - 3y           3

_______  =   ___     cross-multiply

13x - 2y           5

 

5 [ 10x - 3y ]  =   3 [ 13x - 2y ]   simplify

 

50x - 15y =  39x  - 6y        add  15y to both sides.....subtract  39x  from both sides

 

11x  = 9y

 

x / y   =  9 / 11

 

x : y  = 9 /11

 

 

cool cool cool

 May 2, 2020

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