we have that
y -2x + 6 ---------y= 2x-6
x > 1
using a graph tool
see the attached figure
case A. (3, 0)---------> is solution
case B. (2, 1)---------> is solution
case C. (2, 11)---------> is solution
case D. (0, 6)---------> is not solution
case E. (5, -6)---------> is solution
case F. (1, 4)---------> is not solution