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.

Question

(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

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

The given system of equations is y = -x + 3 and x + y = 8.

By graphing these two equations on the coordinate plane, we can see that the lines do intersect at the point (2, 6). Therefore, there is a solution to the system.