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

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The statement is true, because the lines have an intersection point. When graphing the two equations y=−x+3 and x+y=8, they intersect at the point (2, 6). Therefore, there is a solution to the system of equations.