Consider the equation 5x-2y=3. If possible, find a second linear equation to create a system of equations that has: Exactly one solution Exactly two solutions No solutions Infinitely many solutions

a) One solution: 5x +2y = 0 . . . . (any line with a different slope)

b) Two solutions: not possible

c) No solutions: 5x -2y = 0 . . . . (any different line with the same slope)

d) Infinitely many solutions: 10x -4y = 6 . . . . (any other equation for the same line)