One Solution, No Solution, or Many Solutions Quick Check2 of 52 of 5 ItemsQuestionUse the image to answer the 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)ResponsesThe 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 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 have an intersection point.
The correct response is: The statement is true, because the lines are parallel.
Explanation: When graphing the two equations y=-x+3 and x+y=8, we see that the lines are parallel to each other and do not intersect. This means that there is no solution to the system of equations.