the graph shows the system of equations x + y = 2 and -x + y = 7. the graph of -x + y = 7 is incorrect. the lines should intersect. can you explain why

Answer 1

Yes, the lines should intersect because the system of equations has a unique solution, which means there is only one point where the two lines intersect. In this case, the correct graph for the equation -x + y = 7 should intersect with the line x + y = 2 at a single point, representing the solution to the system of equations. If the lines do not intersect, it means that the graph is incorrect and does not accurately represent the solution to the system of equations.