Find the point on 5x - 3y = 4 where the ordinate is equal to the abscissa

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Solution

Let the required point be (a, a) [as abscissa is equal to ordinate]

Since it lies on the line, it is a solution of the equation 5x – 3y = 4

Hence, 5a – 3a = 4

2a = 4

a = 2

Required point is (2, 2)

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