Unique Solution for Tx=y in R(T) when T is injective

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Supposse that y \in{R(T)}, T\in{L(V,W)} the equation Tx=y, have unique solution if only and if T is injectiva
 
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What have you tried? Do you know how to prove if and only if statements?
 
yes, first left after right, i want only idea,
 
? "first left after right" means nothing to me. Please answer Mark44's question, "What have you tried?".
 
I maked this
 
If you aren't going to answer questions asked to clarify your post, I see no reason to continue this.
 

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