In the System $\left\{ \begin{array} { l } x - y + z = 4 \\x + 2 y - z = - 1 \\x + y - 5 z = - 4\end{array} \right.$

question 105

Multiple Choice

In the system $\left\{ \begin{array} { l } x - y + z = 4 \\x + 2 y - z = - 1 \\x + y - 5 z = - 4\end{array} \right.$ , equations 1 and 2 were added to eliminate z . Then equation 2 was multiplied by 5 and added to equation 3 to eliminate z . Which of the following systems of equations would be the result?

• A) \(\left\{ \begin{array} { l }
• 2 x + y = 3 \\
• - 4 x - 9 y = - 8
• \end{array} \right.\)
• B) \(\left\{ \begin{array} { l }
• 2 x + y = 3 \\
• - 4 x - 9 y = 1
• \end{array} \right.\)
• C) \(\left\{ \begin{array} { l }
• 2 x - y = 3 \\
• - 4 x - 9 y = - 3
• \end{array} \right.\)
• D) \(\left\{ \begin{array} { l }
• 2 x + y = 3 \\
• 9 x + 9 y = - 8
• \end{array} \right.\)

---

Definitions:

Topic Sentence

A phrase that conveys the principal concept of the section in which it is found.

Sprained Arm

An injury resulting from the twisting or wrenching of the ligaments in the arm, leading to swelling, pain, and limited mobility.

Emergency Help

Immediate assistance provided in situations of acute need or danger, typically involving medical, policing, or firefighting services.

Talent Show

An event where individuals or groups perform acts showcasing their unique skills and talents in front of an audience and often a panel of judges.