Solve the system of equations graphically. Y=-2x-1. 3x-y=-7

Answer 1

To solve the system of equations graphically, we need to graph the two equations and find the point where they intersect.

First, let's graph the equation y = -2x - 1. We can start by assigning values to x and finding the corresponding values of y:

When x = 0, y = -2(0) - 1 = -1. So one point on the graph is (0, -1).
When x = 1, y = -2(1) - 1 = -3. So another point on the graph is (1, -3).

We can now plot these two points on a graph and draw a line passing through them:

(0, -1) and (1, -3)

Next, let's graph the equation 3x - y = -7. Again, we can assign values to x and find corresponding values of y:

When x = 0, 3(0) - y = -7, which gives us y = 7. So one point on the graph is (0, 7).
When x = 1, 3(1) - y = -7, which gives us y = 10. So another point on the graph is (1, 10).

Plot these two points and draw a line passing through them:

(0, 7) and (1, 10)

The point where the two lines intersect is the solution to the system of equations. By observing the graph, we can estimate that the intersection point is approximately (2, -5).

Thus, the solution to the system of equations is x = 2 and y = -5.