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

question 273

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

• A)x = 5 , y = -10, \(\lambda\) = -10
• B) x = 5, y = 5, \(\lambda\) = 5
• C)x = -10, y = 5, \(\lambda\) = -10
• D)x = 5, y = -10, \(\lambda\) = 5
• E)x = 5, y = 5, \(\lambda\) = -10

---

Definitions:

Analytical Report

A document that provides detailed analysis on a specific topic, using data and research to support conclusions.

Effective Report

A document that clearly and efficiently communicates information and findings to its intended audience.

Executive Dashboard

A visual interface displaying the key performance indicators (KPIs) and metrics for an organization's executives to monitor.

Customized

Tailored or modified to meet the specific needs, preferences, or requirements of an individual or group.