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

Question

Quizplus · Accepted Answer

Using Gaussian elimination, the augmented matrix is $\begin{bmatrix} 2 & 9 & | & -35 \ -9 & 2 & | & 30 \end{bmatrix}$. After row operations, the solution is $x = -4$, $y = -3$.

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

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