calculus two question

Question

The partial fraction decomposition of  can be written in the form of  where

f(x)=

g(x)=

Answer 1

22x - 43 = A(4x - 1) + B(3x - 7)

22x - 43 = A4x - A + B3x - 7B

22x - 43 = 4Ax + 3Bx - A - 7B

22x - 43 = (4A + 3B)x - (A + 7B)

4A + 3B = 22

A + 7B = 43

Can you solve for A and B and answer?