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MathNet 2017-part-06 — 176 problems (EN–VI) Question 68

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 68

Determine the parameters $a$ and $b$ so that the lines given by the equations
$$
\begin{aligned}
(a+b) x - a y + a - 2 &= 0 \\
(2b - a) x + (a - 4b) y - a &= 0
\end{aligned}
$$
are identical (coincide, overlap).