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Explain Bot To find the values of A, B, C, and D, we can use the given equations and solve them simultaneously. Let's denote A, B, C, and D as variables and use substitution to solve the equations.
Given:
AC + BD = 34 .......(1)
AD + BC = 43 .......(2)
We need to find the sum of A, B, C, and D, which is A + B + C + D.
To solve this, we can express A and C in terms of B and D using equation (2):
AC + BD = 34
AC = 34 - BD ......(3)
AD + BC = 43
AD = 43 - BC ......(4)
Now we substitute the values of A and C in equation (3) from equations (3) and (4) into equation (1):
(34 - BD) + BD = 34
34 - BD + BD = 34
34 = 34
Since the equation simplifies to 34 = 34, this means that regardless of the values of B and D, the equation will always hold true.
Hence, the values of A, B, C, and D can be any values that satisfy the two given equations (1) and (2).
Therefore, it is not possible to determine the values of A, B, C, and D, and hence, we cannot find the sum of A, B, C, and D.