No solution exists for the given system of equations.
Step-by-step explanation:
The given system of equation are :
3x+y=18 ---------(1)
3x+y=16 ---------(2)
Comparing the two equations (1) and (2), it can be determined that :
- The x term and y term are same in both the equations.
- This means, if both x and y are same, then the system of equations cannot be solved for x and y values.
The solution set for the system of equation is (x,y).
Since the given equations cannot be solved for x and y values, The system has NO SOLUTION.
Therefore, the option a) none is the solution of given system of equations.