When the Laplace Transform Is Applied to the System $\begin{array} { l } \frac { d x } { d t } = 3 x - y \\\frac { d y } { d t } = x + y \\x ( 0 ) = 2 , y ( 0 ) = 1\end{array}$

Multiple Choice

When the Laplace transform is applied to the system $\begin{array} { l } \frac { d x } { d t } = 3 x - y \\\frac { d y } { d t } = x + y \\x ( 0 ) = 2 , y ( 0 ) = 1\end{array}$ the resulting transformed system is

A) $s X = 3 X - Y - 2 , s Y - 1 = X + Y$
B) $s X - 2 = 3 X - Y , s Y = X + Y - 1$
C) $s X = 3 X - Y - 2 , s Y = X + Y - 1$
D) $s X - 2 = 3 X - Y , s Y - 1 = X + Y$
E) $s X + 2 = 3 X - Y , s Y + 1 = X + Y$