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SAT® Math

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Strategic Solving

SATMAT-GG4KJS

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

In the system of equations shown above, the solution of the system has a $ y $ -value of -6.

Find the value of $ -9C\\\ $.

A

$ -\cfrac { 4 }{ 27 } \\\ $

B

$ -4\cfrac { 1 }{ 2 } $

C

$ \cfrac { 4 }{ 3 } \\\ $

D

$ -\cfrac { 1 }{ 2 } \\\ $