# student.desmos.com Practice 7.6.11 < Explore Fill in each blank with a number or expression such that each row and column adds up to the same total.

The problem contains an inconsistency and cannot be solved as stated.

Solved: # student.desmos.com Practice 7.6.11 < Explore Fill ...

The problem contains an inconsistency and cannot be solved as stated.

Let the total sum of each row and column be S. Then, for the first row, we have: (8-3x) + (3x-6) + A + B = S, where A and B are the missing entries.
For the second row, we have: (2x-3) + 3 + (2-x) + x = S, which simplifies to 2x + 2 = S.
For the third row, we have: (1-2x) + (4x-1) + (3x-2) + (4-3x) = S, which simplifies to 2x + 2 = S.
For the fourth row, we have: (5x-4) + (6-5x) + (7-4x) + (6x-7) = S, which simplifies to 2x + 2 = S.
From steps 2, 3, and 4, we have S = 2x + 2.
For the first column, we have: (8-3x) + (2x-3) + (1-2x) + (5x-4) = S = 2x+2. This simplifies to 2x+2 = 2x+2, which is consistent.
For the second column, we have: (3x-6) + 3 + (4x-1) + (6-5x) = S = 2x+2. This simplifies to 2x-4 = 2x+2, which is inconsistent. There must be an error in the problem statement or the given values.
Let's assume the second column should sum to 2x+2. Then (3x-6) + 3 + (4x-1) + (6-5x) = 2x - 4 ≠ 2x + 2. There's an inconsistency in the problem. We cannot solve for the missing values without correcting the given values.