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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+y=\frac{-260}{77}\\2x+2y=\frac{-324}{77}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{157}{22}-3x\\-x+y=\frac{-197}{66}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+6y=\frac{30}{13}\\-x-2y=\frac{-14}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-3y=\frac{-1461}{80}\\x=-6y+\frac{-203}{40}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+3y=\frac{-456}{17}\\x+y=\frac{103}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+y=\frac{-729}{91}\\-4x=4y+\frac{628}{91}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{119}{76}-x\\-2x-5y=\frac{-69}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-4y=\frac{77}{6}\\-x+y=\frac{-175}{72}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-5}{6}-3x\\-4x-5y=\frac{-91}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+2y=35\\4x+y=24\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=-147-3x\\x-3y=31\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{7}{3}+6x\\x+4y=\frac{133}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+y=\frac{-260}{77}\\2x+2y=\frac{-324}{77}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{-16}{7})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{157}{22}-3x\\-x+y=\frac{-197}{66}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-20}{11})\}\)
3. \(\left\{\begin{matrix}4x+6y=\frac{30}{13}\\-x-2y=\frac{-14}{13}\end{matrix}\right.\qquad V=\{(\frac{-12}{13},1)\}\)
4. \(\left\{\begin{matrix}6x-3y=\frac{-1461}{80}\\x=-6y+\frac{-203}{40}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-5}{16})\}\)
5. \(\left\{\begin{matrix}-6x+3y=\frac{-456}{17}\\x+y=\frac{103}{17}\end{matrix}\right.\qquad V=\{(5,\frac{18}{17})\}\)
6. \(\left\{\begin{matrix}5x+y=\frac{-729}{91}\\-4x=4y+\frac{628}{91}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{-2}{13})\}\)
7. \(\left\{\begin{matrix}5y=\frac{119}{76}-x\\-2x-5y=\frac{-69}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{5}{19})\}\)
8. \(\left\{\begin{matrix}6x-4y=\frac{77}{6}\\-x+y=\frac{-175}{72}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{-7}{8})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-5}{6}-3x\\-4x-5y=\frac{-91}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{17}{15})\}\)
10. \(\left\{\begin{matrix}-5x+2y=35\\4x+y=24\end{matrix}\right.\qquad V=\{(1,20)\}\)
11. \(\left\{\begin{matrix}6y=-147-3x\\x-3y=31\end{matrix}\right.\qquad V=\{(-17,-16)\}\)
12. \(\left\{\begin{matrix}4y=\frac{7}{3}+6x\\x+4y=\frac{133}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{5}{3})\}\)