Solve the system using substitution: { y = (3/4)x - 2 ; (1/2)x + (3/2)y = 6 }

x = 36/11

y = 5/11

x = 72/13

y = 28/13

No solution exists because fractional coefficients cause the equations to be incompatible; substitution leads to a contradiction

x = 72/13

y = 14/13