Find Values of X, Y, And $\lambda$ That Satisfy the System $\lambda$

Multiple Choice

Find values of x, y, and $\lambda$ that satisfy the system.These systems arise in certain optimization problems in calculus, and $\lambda$ 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, $\lambda$ = -9
B) x = 9, y = -9, $\lambda$ = -9
C) x = 9, y = -9, $\lambda$ = 9
D) x = 9, y = 9, $\lambda$ = 9
E) x = -9, y = 9, $\lambda$ = -9