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MathNet 2026 — Part 07 Question 154

Math Olympiad Vault · MathNet 2026 — Part 07

Question 154

For what values of $k$ will the system below have no solution?
$$
\begin{aligned}
(k-3)x + 2y &= k^2 - 1 \\
x + \left(\frac{k-4}{3}\right)y &= 0
\end{aligned}
$$