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

question 13

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

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