What is the solution to the following system of equations 12x - 6y =23 4x -2y =6
multiply the 2nd equation by 3 and you have
12x - 6y = 23
12x - 6y = 18
There is no way that 12x-6y can be both 23 and 18
so, there is no solution
or, just subtract the equations to get
0 = 5
and there are no values of x and y that will ever make that true.