All lines of the form y = 2Ax − 6A (for all A ≠ 0) pass through one point. In the answer

All lines of the form y = 2Ax − 6A (for all A ≠ 0) pass through one point. In the answer, write down the sum of the coordinates of this point.

Let us write the system of equations for A = 1 and A = 2:
1) (at A = 1): y = 2 * x – 6;
2) (at A = 2): y = 4 * x – 12;
We subtract the first equation from the second equation:
y – y = 4 * x – 2 * x – 12 + 6;
2 * x – 6 = 0; 2 * x = 6;
x = 3;
y = 2 * 3 – 6 = 0.
Point coordinates: (3; 0).
Answer: the sum of the coordinates of a point is 3 + 0 = 3.