Solving the system y equals -x + 3 and x + y = 8 by graphing shows that there is no solution to the system as this statement true or false explain

Answer 1

True. By graphing the two equations, we can see that they are parallel lines that do not intersect, indicating that there is no solution to the system. The first equation, y = -x + 3, has a y-intercept of 3 and a slope of -1. The second equation, x + y = 8, can be rewritten as y = -x + 8, with a y-intercept of 8 and a slope of -1. Since the slopes are the same and the y-intercepts are different, the lines are parallel and do not intersect, meaning there is no solution to the system.