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Solving Systems of Equations: Fractions

ACTMAT-DJEJYU

For the system:

$$ \begin{cases} \cfrac { x-y }{ 3 } =\cfrac { x+y }{ 2 } +1 \\\ \cfrac { 10x-y }{ 10y-x } =-\cfrac { 9 }{ 2 } \end{cases} $$

What is $ \cfrac { y }{ x } $?

A

$-8$

B

$ -\cfrac { 29 }{ 92 } $

C

$ -\cfrac { 1 }{ 8 } $

D

$ \cfrac { 23 }{ 25 } $

E

$ \cfrac { 29 }{ 382 } $