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

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