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Is the function $f:\mathbb{R}^2\to\mathbb{R}^2$, where $f(x,y)=(x+y,x)$, one-to-one, onto, both?

Determine whether the function is one-to-one, onto, and if both than describe its inverse. Can you fully explain to. Thanks. I'm not really familiar with mapping and I can't figure out how to make it into a linear algebra problem.

Gamecocks99
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