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Solve the System of Equations xy+2z=112x+2y4z=3x+4y+z=23\begin{aligned}& x-y+2 z=11 \\& -2 x+2 y-4 z=3 \\& x+4 y+z=23\end{aligned}

Question 154

Multiple Choice

Solve the system of equations. If the system is inconsistent or has dependent equations, say so.
- xy+2z=112x+2y4z=3x+4y+z=23\begin{aligned}& x-y+2 z=11 \\& -2 x+2 y-4 z=3 \\& x+4 y+z=23\end{aligned}


A) {(x,y,z) xy+2z=11}\{(x, y, z) \mid x-y+2 z=11\} ; dependent equations
B) {(0,5,3) }\{(0,5,3) \}
C) {(3,0,5) }\{(3,0,5) \}
D) \varnothing ; inconsistent system

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