SOLUTION: the sum of two fraction is 3 times their difference.Six times the smaller fraction exceeds the larger fraction by 1.5.Find the fraction

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Question 824391: the sum of two fraction is 3 times their difference.Six times the smaller fraction exceeds the larger fraction by 1.5.Find the fraction
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Fractions x and y.
x%3Cy.

x%2By=3%28y-x%29; 6x=y%2B1.5

Those two equations are exact translations from the worded descriptions. Solve them as a system for x and y.

Simplifying the system:
First Equation,x%2By=-3x%2B3y
0%2B0=-3x-x%2B3y-y
-4x%2B2y=0
-2x=-y
highlight_green%282x=y%29

Second Equation,highlight_green%286x-y=1.5%29

Substitute for y in the second equation.
6x-2x=1.5
4x=1.5
x=1.5%2F4=3%2F8

x=3/8 and y=3/4