Question

Solving the system y=−x+3 and x+y=8 by graphing shows that there is no solution to the system. Is this statement true or false? Explain.

(1 point)
Responses

The statement is true, because the lines have an intersection point.
The statement is true, because the lines have an intersection point.

The statement is false, because the lines are parallel.
The statement is false, because the lines are parallel.

The statement is false, because the lines have an intersection point.
The statement is false, because the lines have an intersection point.

The statement is true, because the lines are parallel.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The statement is false, because the lines have an intersection point. This can be determined by graphing the two equations and observing where they intersect. In this case, the equations y = -x + 3 and x + y = 8 intersect at the point (2,6). Therefore, there is a solution to the system.