Find Values of X,y,and ? That Satisfy the System $$\left\{ \begin{array} { l } 2 + 2 y + 2 \lambda = 0 \\2 x + 1 + \lambda = 0 \\2 x + y - 96 = 0\end{array} \right.$$

Multiple Choice

Find values of x,y,and ? that satisfy the system.These systems arise in certain optimization problems in calculus,and ? is called a Lagrange multiplier. ?? $$\left\{ \begin{array} { l } 2 + 2 y + 2 \lambda = 0 \\2 x + 1 + \lambda = 0 \\2 x + y - 96 = 0\end{array} \right.$$ ?

A) ?x = 24,y = -49,? = 24
B) ?x = -49,y = 48,? = -49
C) ?x = 24,y = 48,? = -49
D) x = 24,y = -49,? = -49
E) ?x = 24,y = 48,? = 48