Question 1 - A-Level Maths

Find the inverse of the matrix $\mathbf { M } = \left( \begin{array} { r r } 4 & - 1
3 & 2 \end{array} \right)$.
Use this inverse to solve the simultaneous equations $$\begin{aligned} & 4 x - y = 49
& 3 x + 2 y = 100 \end{aligned}$$ showing your working clearly.