Solve the system of equations graphically. You can use your graphing calculator!

To solve the system of equations graphically, we can plot both equations on the same coordinate system and find their point of intersection.

The equations are:
1. \( y = -2x - 1 \) (Equation 1)
2. \( 3x - y = -7 \) (Equation 2)

First, let's rewrite Equation 2 in slope-intercept form (y = mx + b) for easier graphing:

\[
3x - y = -7
\]
\[
-y = -3x - 7
\]
\[
y = 3x + 7
\]

Now we have the two equations to graph:

1. \( y = -2x - 1 \) (a line with a slope of -2 and y-intercept at (0, -1))
2. \( y = 3x + 7 \) (a line with a slope of 3 and y-intercept at (0, 7))

### Graphing:
- For **Equation 1**:
- When \( x = 0 \), \( y = -1 \) → Point (0, -1)
- When \( x = 1 \), \( y = -3 \) → Point (1, -3)

- For **Equation 2**:
- When \( x = 0 \), \( y = 7 \) → Point (0, 7)
- When \( x = -1 \), \( y = 4 \) → Point (-1, 4)

Now, plot these points and draw the lines for each equation. The point where the two lines intersect is the solution to the system of equations.

### Intersection Point:
Using either the graph or algebra to find the intersection, we can solve for \( y \) when both \( y \) values are equal:

Set the equations equal to each other:
\[
-2x - 1 = 3x + 7
\]
Combine like terms:
\[
-2x - 3x = 7 + 1
\]
\[
-5x = 8
\]
\[
x = -\frac{8}{5} = -1.6
\]

Substituting \( x = -1.6 \) into one of the equations:
Using \( y = -2x - 1 \):
\[
y = -2(-1.6) - 1 = 3.2 - 1 = 2.2
\]

### Final Solution:
The solution to the system of equations is approximately:

\[
(-1.6, 2.2)
\]

So the correct response is:
**Solution is (-1.6, 2.2)**.