Given the equation system x + y = 7ax + 2Y = C, try to determine the value of a and C, so that the equation system: (1) has one solution; (2) has innumerable solutions; (3) has no solution

Given the equation system x + y = 7ax + 2Y = C, try to determine the value of a and C, so that the equation system: (1) has one solution; (2) has innumerable solutions; (3) has no solution

(1) When a = 3, C = 10, the equations have one solution; (2) when a = 2, C = 14, the equations have innumerable solutions; (3) when a = 2, C = 6, the equations have no solutions