Use the image to answer the question.
A coordinate plane with 4 quadrants ranges from negative 10 to 10 in unit increments on both the x and y axes. A solid line and a dashed line with arrows at both the ends are drawn parallel to each other on the graph. The equation of the solid line is y equals negative x plus 3. The equation of the dashed line is x plus y equals 8.
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.
A:The statement is false, because the lines have an intersection point.
B:The statement is false, because the lines are parallel.
C:The statement is true, because the lines have an intersection point.
D:The statement is true, because the lines are parallel.
B: The statement is false, because the lines are parallel.
Since the lines are parallel, they will never intersect, so the system of equations has no solution.