Chapter 9 - Systems and Matrices - 9.4 Partial Fractions - 9.4 Exercises - Page 894: 2

$$A = 5$$

$$\eqalign{ & A\left( {2x + 1} \right) + B\left( {3x} \right) = 5 \cr & {\text{Let }}x = 0 \cr & A\left( {2\left( 0 \right) + 1} \right) + B\left( {3\left( 0 \right)} \right) = 5 \cr & A\left( 1 \right) + B\left( 0 \right) = 5 \cr & A = 5 \cr} $$