Question

Solve the system of equations by graphing. y=x-3 y= - 2x +3

A. The solution of the system is (Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution​

Answer 1

To solve the given system of equations, we need to graph both equations on the same coordinate plane and find the point of intersection.

Step-by-step explanation:

To solve the given system of equations by graphing, we need to plot the graphs of both equations on the same coordinate plane and find the point of intersection. The point of intersection represents the solution to the system.

First, let's graph the equation y = x - 3. We can start by plotting a few points. For example, when x = 0, y = -3, and when x = 3, y = 0. Connect these points to draw a line.

Next, let's graph the equation y = -2x + 3. Again, we can plot a few points. When x = 0, y = 3, and when x = 1, y = 1. Connect these points to draw a line.

The lines representing the two equations will intersect at a single point, which is the solution to the system. By analyzing the graph, we can see that the point of intersection is (-1, -4). Therefore, the solution of the system is (-1, -4).