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

The statement is false, 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. When you solve the system of equations y = -x + 3 and x + y = 8 by graphing, you will see that the two lines intersect at the point (2, 6). Therefore, there is a solution to the system of equations, making the statement false.