Solve the system of equations graphically. You can use your graphing calculator! y=−2x−1 3x − y =−7 (1 point) Responses Solution is (-1.6, 2.2 ) Solution is (-1.6, 2.2 ) Solution is (0, 2) Solution is (0, 2) Solution is (-1, -1) Solution is (-1, -1) Solution is (-1.5, 0) Solution is (-1.5, 0) Skip to navigation

Answer 1

To graph the system of equations, we need to plot the lines y = -2x - 1 and 3x - y = -7.

First, let's graph the line y = -2x - 1. To do this, plot two points on the line. One easy way to do this is by setting x = 0 and solving for y, and setting x = 1 and solving for y.

When x = 0, y = -2(0) - 1 = -1. This gives us the point (0, -1).

When x = 1, y = -2(1) - 1 = -3. This gives us the point (1, -3).

Plotting these two points and drawing a line through them, we get:

The first solution given, (-1.6, 2.2), does not seem to be on the graph.

Now, let's graph the line 3x - y = -7. To do this, we again choose values for x and solve for y.

When x = 0, y = 3(0) - (-7) = 7. This gives us the point (0, 7).

When x = 1, y = 3(1) - (-7) = 10. This gives us the point (1, 10).

Plotting these two points and drawing a line through them, we get:

The second solution given, (0, 2), does not seem to be on the graph.

The third solution given, (-1, -1), does not seem to be on the graph.

The fourth solution given, (-1.5, 0), does not seem to be on the graph.

Therefore, none of the given solutions seem to accurately represent the solution to the system of equations when graphed.