Question 1 - A-Level Maths

Find the inverse of the matrix $\mathbf { A } = \left( \begin{array} { l l } 4 & 3
1 & 2 \end{array} \right)$.
Use this inverse to solve the simultaneous equations $$\begin{aligned} 4 x + 3 y & = 5
x + 2 y & = - 4 \end{aligned}$$ showing your working clearly.