Solving a system of linear equations! I am not sure how to solve a system of linear equations of this nature:


s(Y-T)= G-T-bi
M/P=h×Y-gi


Here's how I tried to solve it:



I'm doing something wrong but I do not know what. 

I hope that someone can help me with this problem.

Thank you in advance!
What you got is the same as the answer because 
$$\begin{align}\frac{1}{bh+gs}\left(gG-gT+gsT+\frac{bM}{p}\right)&amp;=\frac{g}{bh+gs}\left(G-T+sT+\frac{bM}{gp}\right)\\&amp;=\frac{g}{hb+gs}\left(\frac{bM}{gp}-T+sT+G\right)\\&amp;=\frac{g}{hb+gs}\left(\frac{bM}{gp}-(1-s)\times T+G\right)\end{align}$$
Thank you very much for all your help and useful information! 

Yes, this was macroeconomics stuff (it's really not my thing).