# Transforming a linear constraint. [duplicate]

I have two variables $$x$$, and $$y$$. That are related by $$Bx=y$$. There is also a linear inequality constraint on $$x$$: $$Ax \leq b$$. Is it possible to write down the feasible set of $$y$$ as a linear inequality constraint? How would I do this? I also know that the columns of $$A$$ are linearly independent, but I don't have any such condition on $$B$$.

• In your question, is $b = B$? – Ryan Shesler Jun 19 '19 at 1:42
• No, sorry if it wasn't clear. $b$ is a vector and is just the rhs of the inequality on $x$. $B$ is a matrix that maps $x$ to $y$. – user187815 Jun 19 '19 at 1:55
• – Marcus Ritt Jun 19 '19 at 2:53