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## Homework Statement

This is Rankine-Hugoniot conditions at a hydrodynamic shock front. Where P2=0 v2=0.

The problem is attached. I need to solve a system of equations. I thought it would be relatively straight forward solving for the three unknowns but I'm struggling. I know it's possible to solve but maybe not just rearranging the equations as I've been trying. Am I missing an assumption or something?

## Homework Equations

The equations are attached.

## The Attempt at a Solution

I just want to know if simply using algebra will work for rearranging/solving this system. All I can solve for so far is P1/V1=Vs*ρ2 from the first two equations. Anything I try with w in equation 3 gives me multiple terms with the variables I'm trying to solve for. I feel like something should be 0 or some other assumption.