It is known that the correct solutions of the binary linear equations ax-2by = - 1 and CX + y = 3 about X and y are x = 3 and y = - 1, but student a misread C when doing the problem, and the solution is X = - 1 and y = 3, find the value of a and C

It is known that the correct solutions of the binary linear equations ax-2by = - 1 and CX + y = 3 about X and y are x = 3 and y = - 1, but student a misread C when doing the problem, and the solution is X = - 1 and y = 3, find the value of a and C

Because although student a misread the value of C, but the values of a and B are correct, we can set up a system of linear equations with three variables
3a+2b=-1
-a-6b=-1
3c-1=3
The solution is a = 3 / 2, B = 1 / 4, C = 4 / 3