Identifying a System with No Solution Which system has no solution? A system of equations. y equals negative 3 x plus 8. 6 x plus 2 y equals negative 4.5. A system of equations. y equals 9 x plus 6.25. negative 18 x plus 2 y equals 12.5. A system of equations. y equals 4.5 x minus 5. negative 3 x plus 2 y equals 6. A system of equations. y equals 3 x plus 9. x plus 8 y equals 12.3