Question

The graph represents this system of equations:

y = -2x + 1
y = -2x

According to the graph, what is the solution to the system? Explain your reasoning.
Using substitution, prove the solution

Answer 1

The system of equations represented by the graph has no solution as the lines are parallel and do not intersect.

Step-by-step explanation:

The graph represents the system of equations:

y = -2x + 1

y = -2x

To find the solution to the system, we need to determine the point of intersection of the two lines on the graph. By comparing the equations, we can see that the lines have the same slope of -2, which means they are parallel. Therefore, the lines do not intersect and the system has no solution. This can also be verified by substituting the x and y values from one equation into the other equation and showing that they do not satisfy both equations simultaneously.