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

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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
The ordered pair $$ (-5,-1) $$ satisfies both equations, so the answer is Yes.

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

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