Apply Gaussian Elimination to Systems with More Variables Than Equations $$\begin{array} { c } x + y + z = 9 \\2 x - 3 y + 4 z = 7\end{array}$$

question 139

Multiple Choice

Apply Gaussian Elimination to Systems with More Variables than Equations
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { c } x + y + z = 9 \\2 x - 3 y + 4 z = 7\end{array}$$

• A) \(\left\{ \left( - \frac { 7 } { 5 } z + \frac { 34 } { 5 } , \frac { 2 } { 5 } z + \frac { 11 } { 5 } , z \right) \right\}\)
• B) \(\left\{ \left( \frac { 3 } { 5 } z + \frac { 16 } { 5 } , - \frac { 8 } { 5 } z + \frac { 29 } { 5 } , z \right) \right\}\)
• C) \(\left\{ \left( \frac { 27 } { 5 } , \frac { 13 } { 5 } , 1 \right) \right\}\)
• D) \(\varnothing\)

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