The pair of linear equations $2x = 5y + 6$ and $15y = 6x - 18$ represents two lines which are:

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Step 1: $2x - 5y - 6 = 0$ and $6x - 15y - 18 = 0$. Here $\frac{a_1}{a_2} = \frac{2}{6} = \frac{1}{3}$, $\frac{b_1}{b_2} = \frac{-5}{-15} = \frac{1}{3}$, $\frac{c_1}{c_2} = \frac{-6}{-18} = \frac{1}{3}$
Step 2: Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$, the lines are coincident.

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