If a point P (a, 1) lies on the line 2x - 3y - 5 = 0, then find the value of a.

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Solution

If a point (a, 1) lies on the line 2x - 3y - 5 = 0, then the point should satisfy the line.
$2 x - 3 y - 5 = 0 \to 2 \times a - 3 \times 1 - 5 = 0 \to 2 a - 8 = 0 \to 2 a = 8 \to a = 4$

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