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3x-2y-6-2x-3y-6-x-and-y-




Question Number 198950 by ArifinTanjung last updated on 26/Oct/23
3x+2y=6  2x+3y=6 → x and y =...?
$$\mathrm{3x}+\mathrm{2y}=\mathrm{6} \\ $$$$\mathrm{2x}+\mathrm{3y}=\mathrm{6}\:\rightarrow\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:=…? \\ $$
Answered by Rasheed.Sindhi last updated on 26/Oct/23
 { ((3x+2y=6)),((2x+3y=6)) :}         x,y=?  Adding:  5(x+y)=12⇒x+y=((12)/5)  Subtracting: x−y=0⇒x=y  x+y=x+x=2x=((12)/5)⇒x=(6/5)⇒y=(6/5)
$$\begin{cases}{\mathrm{3x}+\mathrm{2y}=\mathrm{6}}\\{\mathrm{2x}+\mathrm{3y}=\mathrm{6}}\end{cases}\:\:\:\:\:\:\:\:\:\mathrm{x},\mathrm{y}=? \\ $$$$\mathrm{Adding}:\:\:\mathrm{5}\left(\mathrm{x}+\mathrm{y}\right)=\mathrm{12}\Rightarrow\mathrm{x}+\mathrm{y}=\frac{\mathrm{12}}{\mathrm{5}} \\ $$$$\mathrm{Subtracting}:\:\mathrm{x}−\mathrm{y}=\mathrm{0}\Rightarrow\mathrm{x}=\mathrm{y} \\ $$$$\mathrm{x}+\mathrm{y}=\mathrm{x}+\mathrm{x}=\mathrm{2x}=\frac{\mathrm{12}}{\mathrm{5}}\Rightarrow\mathrm{x}=\frac{\mathrm{6}}{\mathrm{5}}\Rightarrow\mathrm{y}=\frac{\mathrm{6}}{\mathrm{5}} \\ $$

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