(Solved): Consider the following system of equations. \[ \begin{array}{l} 3 x-2 y=b_{1} \\ 4 x+3 y=b_{2} \end ...

Consider the following system of equations. \[ \begin{array}{l} 3 x-2 y=b_{1} \\ 4 x+3 y=b_{2} \end{array} \] (a) Write the system of equations as a matrix equation. \[ \left[[]\left[\begin{array}{l} x \\ y \end{array}\right]=\left[\begin{array}{l} b_{1} \\ b_{2} \end{array}\right]\right. \] (b) Solve the system of equations by using the inverse of the coefficient matrix. (i) where \( b_{1}=-6, b_{2}=10 \) \[ (x, y)=( \] (ii) where \( b_{1}=3, b_{2}=-2 \)