-2x + 2y = 10
Y = x + 5
A. The graphs of the equation are lines that intersect at one point because the equations have the same slope and same y-intercept. Therefore, the system has exactly one solution.
B. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. Therefore, the system has infinitely many solutions.
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. Therefore, the system has exactly one solution.
D. The graphs of the equations are parallel lines because they have the same slope but different y-intercepts. Therefore, the system has no solution.
