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1 by 2x + 1 by 3y = 2 and 1 by 3x + 1 by 2y = 13 by 6

Answer»

\frac{1}{2x}  +  \frac{1}{3y}  = 2 \:  \:  \:   \:  \: \frac{1}{3x }  +  \frac{1}{2y}  =  \frac{13}{6}  \\  \frac{3y + 2x}{6xy}  = 2 \:  \:  \:  \:  \:  \frac{2y + 3x}{6xy}  =  \frac{13}{6}  \\ 3y + 2x = 12xy \:  \:  \:  \:  \: 2y + 3x = 13xy \\  \\ 3y + 2x +2y + 3x = 12xy + 13xy \\ 5y + 5x = 25xy \\  \frac{5y + 5x}{5}  =  \frac{25xy}{5}  \\ y + x = 5xy



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