Does the ordered pair \( (-5,-1) \) satisfy the following system of equations? \[ \begin{array}{r}3 x-2 y=-13 \\ -3 x-2 y=17\end{array} \] Select the correct answer below: Yes No

We will check if the ordered pair \( (-5,-1) \) satisfies both equations. **Step 1. Substitute into the first equation:** \[ 3x - 2y = -13 \] Substitute \( x = -5 \) and \( y = -1 \): \[ 3(-5) - 2(-1) = -15 + 2 = -13. \] The left-hand side equals the right-hand side. So, the first equation is satisfied. **Step 2. Substitute into the second equation:** \[ -3x - 2y = 17 \] Substitute \( x = -5 \) and \( y = -1 \): \[ -3(-5) - 2(-1) = 15 + 2 = 17. \] The left-hand side equals the right-hand side as well. So, the second equation is satisfied. Since both equations are satisfied by \( (-5,-1) \), the answer is: Yes