I want to solve these four equations and find the solutions for $W, X, Y, Z$
$$\begin{aligned} b.W+g(W-X)Z &=a\\ c.W-d.X+g(W-X)Z &=0\\ e.W+d.X-f.Y &=0\\ s.g(W-X)Z+s.m.b.W-h.Z &=0\end{aligned}$$
And is there any possibility to solve these using matrices?
Hint:
From the first two equations,
$$a-bW-cW+dX=0$$
and from the first and fourth,
$$s(a-bW)+smbW-hZ=0.$$
Hence you can express $X$ and $W$ as linear functions of $Z$.
Plugging them in the first equation, you will obtain a quadratic equation in $Z$, that should have two solutions.
You will draw $Y$ from the third equation.