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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