We have the following:
56 = (A + 8B)x + (A + B)
We must now determine the values of A and B.
There is no x-term on the left side of the equation, which tells us that the coefficient of x is 0.
A + 8B = 0
Setting the constant on the left side of the equation equal to the constant on the right side:
A + B = 56
Subtracting the second equation from the first allows us to determine B.
B = 7
Substituting this value of B into either of the equations allows us to solve for A.
A = -56
We have the following:
56 = A + 8B x A + B
We must now determine the values of A and B.
There is no x-term on the left side of the equation, which tells us that the coefficient of x is 0.
A + 8B = 0
Setting the constant on the left side of the equation equal to the constant on the right side:
A + B = 56
Subtracting the second equation from the first allows us to determine B.
B = 7
Substituting this value of B into either of the equations allows us to solve for A.
A = -56