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Solve the System of Linear Equations x+y+z=7xy+2z=72x+3z=14\begin{array} { r r } x + y + z & = 7 \\x - y + 2 z & = 7 \\2 x + 3 z & = 14\end{array}

Question 216

Multiple Choice

Solve the system of linear equations. If the system has infinitely many solutions, describe the solution with an ordered triple in terms of variable z.
- x+y+z=7xy+2z=72x+3z=14\begin{array} { r r } x + y + z & = 7 \\x - y + 2 z & = 7 \\2 x + 3 z & = 14\end{array}


A) (3z27,2z,z) \left( - \frac { 3 z } { 2 } - 7,2 z , z \right)
B) (3z2+7,z2,z) \left( - \frac { 3 z } { 2 } + 7 , \frac { z } { 2 } , z \right)
C) (3z27,z2,z) \left( - \frac { 3 z } { 2 } - 7 , \frac { z } { 2 } , z \right)
D) (3z2+7,2z,z) \left( - \frac { 3 z } { 2 } + 7,2 z , z \right)

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