Find Values of X,y,and ? That Satisfy the System $\left\{\begin{array}{ll}y+\lambda & =0 \\x+\lambda & =0 \\x+y-18 & =0\end{array}\right.$

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.? $\left\{\begin{array}{ll}y+\lambda & =0 \\x+\lambda & =0 \\x+y-18 & =0\end{array}\right.$ ?

A) ?x = 9,y = 9,? = -9
B) ?x = 9,y = -9,? = -9
C) ?x = 9,y = -9,? = 9
D) ?x = 9,y = 9,? = 9
E) ?x = -9,y = 9,? = -9