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Решение.
Выразим из 2 уравнения у и подставим в 1 уравнение .
[tex]\left\{\begin{array}{l}\bf x-3y=8\\\bf 2x-y=6\end{array}\right\ \ \left\{\begin{array}{l}\bf x-3(2x-6)=8\\\bf y=2x-6\end{array}\right\ \ \left\{\begin{array}{l}\bf x-6x+18=8\\\bf y=2x-6\end{array}\right\\\\\\\left\{\begin{array}{l}\bf -5x=-10\\\bf y=2x-6\end{array}\right\ \ \left\{\begin{array}{l}\bf x=2\\\bf y=2\cdot 2-6\end{array}\right\ \ \left\{\begin{array}{l}\bf x=2\\\bf y=-2\end{array}\right[/tex]
Ответ: ( 2 ;-2 ) .
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100% проверено......)
Решение.
Выразим из 2 уравнения у и подставим в 1 уравнение .
[tex]\left\{\begin{array}{l}\bf x-3y=8\\\bf 2x-y=6\end{array}\right\ \ \left\{\begin{array}{l}\bf x-3(2x-6)=8\\\bf y=2x-6\end{array}\right\ \ \left\{\begin{array}{l}\bf x-6x+18=8\\\bf y=2x-6\end{array}\right\\\\\\\left\{\begin{array}{l}\bf -5x=-10\\\bf y=2x-6\end{array}\right\ \ \left\{\begin{array}{l}\bf x=2\\\bf y=2\cdot 2-6\end{array}\right\ \ \left\{\begin{array}{l}\bf x=2\\\bf y=-2\end{array}\right[/tex]
Ответ: ( 2 ;-2 ) .