Graphically,find whether the following pair of equations has no solution,unique solution or infinitely many solutions.
$5x - 8y + 1 = 0$ $...(1)$
$3x - \frac{24}{5}y + \frac{3}{5} = 6$ $...(2)$

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(A) Given equations are:
$5x - 8y + 1 = 0$ $...(1)$
$3x - \frac{24}{5}y + \frac{3}{5} = 6$ $...(2)$
Multiply Equation $(2)$ by $\frac{5}{3}$:
$\frac{5}{3} \times (3x - \frac{24}{5}y + \frac{3}{5}) = \frac{5}{3} \times 6$
$5x - 8y + 1 = 10$
Wait,let us re-examine Equation $(2)$ as given: $3x - \frac{24}{5}y + \frac{3}{5} = 6$.
Multiplying by $\frac{5}{3}$ gives $5x - 8y + 1 = 10$,which simplifies to $5x - 8y - 9 = 0$.
Comparing $5x - 8y + 1 = 0$ and $5x - 8y - 9 = 0$,the coefficients of $x$ and $y$ are the same,but the constants are different.
Therefore,the lines are parallel and have no solution.

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