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

question 181

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

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