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Infinitely Many Solutions

SATMAT-JIUFK7

$\begin{cases}5x-\frac{1}{5}y=3-C\\\ 10x-\frac{9}{10}y=\frac{3}{2}-\frac{1}{2}y \end{cases}$

If the system of equations shown above has infinitely many $\left( x,y \right)$ solutions, then find the value of the constant C.

(No Calculator)

A

$1\cfrac { 1 }{ 2 }$

B

$2\cfrac { 1 }{ 4 }$

C

$3\cfrac { 3 }{ 4 }$

D

All of these are possible values for $C$ in this system.