Given two solution vectors - finding the general solution

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Could anyone try and help me out with this question?

Given $A$, a $3X3$ matrix over $\mathbb{R}$, I'm told that $(1,2,3)$ and $(1,0,-1)$ are specific vector solutions for $Ax=b$. Also, the vector $(1,1,2)$ solves $Ax=0$. I need to find the general solution for $Ax=b$ and $Ax=0$. how do I approach such a question?