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Question

Mathematics Question on Equation of a Line

The solution of system of equations 2x+3y=13\frac{2}{x} + \frac{3}{y} = 13 and 5x4y=2\frac{5}{x} - \frac{4}{y} = -2 is ______

A

(14,13)\left(\frac{1}{4}, \frac{1}{3}\right)

B

(13,14)\left(\frac{1}{3}, \frac{1}{4}\right)

C

(12,13)\left(\frac{1}{2}, \frac{1}{3}\right)

D

(13,12)\left(\frac{1}{3}, \frac{1}{2}\right)

Answer

(12,13)\left(\frac{1}{2}, \frac{1}{3}\right)

Explanation

Solution

The correct option is (C): (12,13)\left(\frac{1}{2}, \frac{1}{3}\right)