Find Values of X,y,and ? That Satisfy the System $\left\{\begin{array}{ll}2 x+\lambda & =0 \\2 y+\lambda & =0 \\x+y-10 & =0\end{array}\right.$

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.? $\left\{\begin{array}{ll}2 x+\lambda & =0 \\2 y+\lambda & =0 \\x+y-10 & =0\end{array}\right.$ ?

A) x = 5?,y = -10,? = -10
B) ?x = 5,y = 5,? = 5
C) x = -10,y = 5,? = -10
D) x = 5,y = -10,? = 5
E) x = 5,y = 5,? = -10