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Find a System of Linear Equations Below That Has the Point

Question 49

Multiple Choice

Find a system of linear equations below that has the point (1,0,4) ( - 1,0,4 ) as a solution. {4x2y+4z=122x6y+8z=307x3y+6z=17\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 12 \\2 x - 6 y + 8 z = 30 \\7 x - 3 y + 6 z = 17\end{array} \right. , {4x2y+4z=302x6y+8z=177x3y+6z=12\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 30 \\2 x - 6 y + 8 z = 17 \\7 x - 3 y + 6 z = 12\end{array} \right. , {4x2y+4z=172x6y+8z=127x3y+6z=30\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 17 \\2 x - 6 y + 8 z = 12 \\7 x - 3 y + 6 z = 30\end{array} \right. , {4x2y+4z=122x6y+8z=177x3y+6z=30\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 12 \\2 x - 6 y + 8 z = 17 \\7 x - 3 y + 6 z = 30\end{array} \right. or {4x2y+4z=302x6y+8z=127x3y+6z=17\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 30 \\2 x - 6 y + 8 z = 12 \\7 x - 3 y + 6 z = 17\end{array} \right.


A) {4x2y+4=172x6y+8z=127x3y+6z=30\left\{ \begin{array} { c } 4 x - 2 y + 4 = 17 \\2 x - 6 y + 8 z = 12 \\7 x - 3 y + 6 z = 30\end{array} \right.
B) {4x2y+4z=122x6y+8z=307x3y+6z=17\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 12 \\2 x - 6 y + 8 z = 30 \\7 x - 3 y + 6 z = 17\end{array} \right.
C) {4x2y+4z=302x6y+8z=127x3y+6z=17\left\{ \begin{array} { l } 4 x - 2 y + 4 z = 30 \\2 x - 6 y + 8 z = 12 \\7 x - 3 y + 6 z = 17\end{array} \right.
D) {4x2y+4=122x6y+8z=177x3y+6z=30\left\{ \begin{array} { c } 4 x - 2 y + 4 = 12 \\2 x - 6 y + 8 z = 17 \\7 x - 3 y + 6 z = 30\end{array} \right.
E) {4x2y+4=302x6y+8z=177x3y+6z=12\left\{ \begin{array} { c } 4 x - 2 y + 4 = 30 \\2 x - 6 y + 8 z = 17 \\7 x - 3 y + 6 z = 12\end{array} \right.

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