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Question Number 198950 by ArifinTanjung last updated on 26/Oct/23

$$3\mathrm{x}+2\mathrm{y}=6$$$$2\mathrm{x}+3\mathrm{y}=6\to \mathrm{x}\mathrm{and}\mathrm{y}=...?$$

Answered by Rasheed.Sindhi last updated on 26/Oct/23

$$\{\begin{array}{l}3\mathrm{x}+2\mathrm{y}=6\\ 2\mathrm{x}+3\mathrm{y}=6\end{array}\mathrm{x},\mathrm{y}=?$$$$\mathrm{Adding}:5(\mathrm{x}+\mathrm{y})=12\Rightarrow \mathrm{x}+\mathrm{y}=\frac{12}{5}$$$$\mathrm{Subtracting}:\mathrm{x}-\mathrm{y}=0\Rightarrow \mathrm{x}=\mathrm{y}$$$$\mathrm{x}+\mathrm{y}=\mathrm{x}+\mathrm{x}=2\mathrm{x}=\frac{12}{5}\Rightarrow \mathrm{x}=\frac{6}{5}\Rightarrow \mathrm{y}=\frac{6}{5}$$

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