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SAT® Math

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Moderate

A Missing Coefficient 1

SATMAT-1OFKL7

$ \begin{cases} Cx-\cfrac { y }{ 8 } =2+x \\\ 3x-\cfrac { y }{4 } = 1 \end{cases} $

In the system of equations shown above, the $ x $-value of the solution is $ \cfrac { 1 }{ 2 } $. Find the value of the constant $ C $ in this system.

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A

$ \cfrac { 1 }{ 2 } $

B

$ -2 $

C

$ -\cfrac { 5 }{ 2 } $

D

$ \cfrac { 11 }{ 2 } $