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$$\begin{lgathered}=> 4x+5(\frac{13-2x}{3} )=23\\\\=> 4x+\frac{65-30x}{3}=23\\\\=> \frac{12x+65-30x}{3} =23\\\\=> 12x+65-30x=69\\=> 12x-30x=69-65\\=>-18x=4\\=>x=\frac{-4}{18} \:\:\:\:\:....(4)\\\\\\By \: substituting\: eqution \: in\: equation \: 1,\\2x+3y=13\\=>2 \times \frac{-4}{18} +3y=13\\\\=> \frac{-4}{9}+3y=13\\\\=> 3y=13 + \frac{4}{9}\\\\=> 3y = \frac{117+4}{9}\\\\=>y = \frac{121}{9} \times 3\\\\=> y= \frac{121}{3}\end{lgathered}$$
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