Find the Solution or Solutions, If Any Exist, to the System

question 3

Multiple Choice

Find the solution or solutions, if any exist, to the system.
- $$\left\{ \begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7\end{array} \right.$$

• A) infinitely many solutions of the form \(x = 7 - \frac { 3 } { 2 } z , y = \frac { 1 } { 2 } z , z = z\)
• B) infinitely many solutions of the form \(x = - 7 - \frac { 3 } { 2 } z , y = \frac { 1 } { 2 } z , z = z\)
• C) infinitely many solutions of the form \(x = - 7 - \frac { 3 } { 2 } z , y = 2 z , z = z\)
• D) infinitely many solutions of the form \(x = 7 - \frac { 3 } { 2 } z , y = 2 z , z = z\)

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