Solving a system of 4 equations

I am trying to solve a problem for my stochastic process class and I am running into some problems solving the system of equations I have obtained from my transition matrix. It has been a while since I have taken algebra, or any class dealing with solving systems of equations, so please forgive me for my easy question (Rofl)

I am trying to solve where and

So I basically need help solving this system of equations:

Also note:

Thank you in advance :)

Re: Solving a system of 4 equations

Quote:

Originally Posted by

**mybrohshi5**

"Unmess(!)" your equations by changing variables to a,b,c,d and multiplying by 10:

7a + 5c = 10a

3a + 5c = 10b

4b + 2d = 10c

6b + 8d = 10d

Now play with that "silly" system (Wink)

Re: Solving a system of 4 equations

Thank you Wilmer. That made it much easier to solve :)

Answer should be a=1/4, b=c=3/20, and d=9/20

To check: a+b+c+d = 1 :D