SOLUTION: This problem comes from a section involving systems of linear equations with two variables: If the numerator of a certain fraction is increased by 5 and the denominator is decre

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Question 100928This question is from textbook Intermediate Algebra
: This problem comes from a section involving systems of linear equations with two variables:
If the numerator of a certain fraction is increased by 5 and the denominator is decreased by 1, the resulting fraction 8/3. However, if the numerator, of the original fraction is doubled and the denominator is increased by 7, then the resulting fraction is 6/11. Find the original fraction.
Thanks in advance,
para.lax This question is from textbook Intermediate Algebra

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x/y=fraction ... %28x%2B5%29%2F%28y-1%29=8%2F3 ... %282x%29%2F%28y%2B7%29=6%2F11

3x+15=8y-8 ... 22x=6y+42 ... multiply first by -3 and second by 4, then add

-9x-45=-24y+24 ... 88x=24y+168 ... 79x-45=192 ... 79x=237 ... x=3

3(3)+15=8y-8 ... 32=8y ... y=4