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.
The correct response is:
The statement is false, because the lines have an intersection point.
When solving the system of equations y = -x + 3 and x + y = 8 by graphing, the lines will intersect at the point (2, 6). Therefore, there is a solution to the system and the statement is false.