It is known that the solutions of the equations 4x + ay = 162x + y = 4B + 2 and 3x + ay = 132x − 3Y = − 6 for X and y are the same, and the values of a and B are obtained

It is known that the solutions of the equations 4x + ay = 162x + y = 4B + 2 and 3x + ay = 132x − 3Y = − 6 for X and y are the same, and the values of a and B are obtained

By subtracting the equations 4x + ay = 16 and 3x + ay = 13, we can get x = 3. Substituting x = 3 into the equation 2x-3y = - 6, we can get y = 4. Substituting x = 3, y = 4 into the system of equations 4x + ay = 162x + y = 4B + 2, we can get 12 + 4A = 166 + 4 = 4B + 2. Solving this system of equations, we can get a = 1, B = 2