Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 2 x + 5 y = - 7 \\- 6 x - 15 y = 21\end{array}$$

question 24

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the
solution with y arbitrary.
- $$\begin{array} { l } 2 x + 5 y = - 7 \\- 6 x - 15 y = 21\end{array}$$

• A) \(\varnothing\)
• B) \(\left\{ \left\{ - \frac { 5 } { 2 } y - \frac { 7 } { 2 } , y \right) \right\}\)
• C) \(\left\{ \left\{ - \frac { 5 } { 2 } y + \frac { 7 } { 2 } , y \right) \right\}\)
• D) \(\{ ( - 1 , - 1 ) \}\)

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