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) \(\left\{ \begin{array} { l }
• 2 x + y = 3 \\
• 9 x + 9 y = - 8
• \end{array} \right.\)

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