From the first equation a+2=b+8, we can rewrite it as a=b+6.
Then, substituting this into the third equation a-3=b+1, we get b+6-3=b+1 which simplifies to b+3=b+1.
This equation has no solution, as the variable b is eliminated during the simplification process.
Therefore, the system of equations is inconsistent and has no solution.
From the first equation a+2=b+8, we can rewrite it as a=b+6.
Then, substituting this into the third equation a-3=b+1, we get b+6-3=b+1 which simplifies to b+3=b+1.
This equation has no solution, as the variable b is eliminated during the simplification process.
Therefore, the system of equations is inconsistent and has no solution.