Solving for U and V in a system with Laplace transforms

[CarbonWater]

Homework Statement

sU-1+U-V=0
sV-2-U+V=(2/s)

Homework Equations

N/A

The Attempt at a Solution

the solutions are
U=(s+1)/s^2

V=(2s+1)/s^2

but I just keep getting complicated polynomials that I don't seem to be able to factor.

If someone could show me how this particular one was done and what a general approach is I would greatly appreciate it.

 

[eumyang]

I was able to get the answers you posted. It may help to "clean" up the equations so that there is only one U and one V shown in each on the LHS, like this:

$$\begin{aligned}<br /> (s+1)U - V &= 1 \\<br /> -U + (s+1)V &= (2/s) + 2<br /> \end{aligned}$$

I used elimination by multiplying eq. 1 by s+1 and adding to eq. 2 to eliminate the V. In any event you have to show your work first, so either show us what you've got or try what I did, and we'll check it for you.