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In the System {xy+z=4x+2yz=1x+y5z=4\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 {xy+z=4x+2yz=1x+y5z=4\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) {2x+y=34x9y=8\left\{ \begin{array} { l } 2 x + y = 3 \\- 4 x - 9 y = - 8\end{array} \right.
B) {2x+y=34x9y=1\left\{ \begin{array} { l } 2 x + y = 3 \\- 4 x - 9 y = 1\end{array} \right.
C) {2xy=34x9y=3\left\{ \begin{array} { l } 2 x - y = 3 \\- 4 x - 9 y = - 3\end{array} \right.
D) {2x+y=39x+9y=8\left\{ \begin{array} { l } 2 x + y = 3 \\9 x + 9 y = - 8\end{array} \right.

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