The graphs of the equations 5x – 15y = 8 and 3x – 9y = $\frac{24}{5}$ are two lines which are

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Coincident Explanation: The equations are 5x – 15y – 8 = 0 and 15x – 45y – 24 = 0. $\therefore$ `(a_1)/(a_2) = $\frac{5}{15}$ = $\frac{1}{3}$, (b_1)/(b_2) = (-15)/(-45) = $\frac{1}{3}$ and (c_1)/(c_2) = (-8)/(-24) = $\frac{1}{3}$ $\Rightarrow$ (a_1)/(a_2) = (b_1)/(b_2) = (c_1)/(c_2)` and therefore the system has infinitely many solutions. Hence, the graph lines are coincident.

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