# Simple system dilemma

Algebra Level 4

\begin{align} y =\frac{3x}{1+x^2} \\ y=-x+k \end{align} In this system the number $$k$$ represents any real number. Which of the following statement will be true?

Note: A solution here will be a pair of real numbers (a, b), such that $$b=\frac{3a}{1+a^2}$$ and $$b=-a+k.$$ We don't consider complex solutions.

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