Use Matrices to Solve the System of Equations (If Possible) $$\left\{ \begin{aligned}2 x + 9 y & = - 35 \\- 9 x + 2 y & = 30\end{aligned} \right.$$

Multiple Choice

Use matrices to solve the system of equations (if possible) .Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. $$\left\{ \begin{aligned}2 x + 9 y & = - 35 \\- 9 x + 2 y & = 30\end{aligned} \right.$$

A) x = -3, y = -4
B) x = 4, y = 3
C) x = -4, y = -3
D) x = -3, y = 4
E) no solution