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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-y=\frac{1}{2}\\-6x-6y=-3\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-3y=\frac{-1}{2}\\-x=-6y+\frac{-67}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+6y=\frac{-211}{17}\\5x-5y=\frac{205}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-6y=\frac{-909}{110}\\x+2y=\frac{457}{110}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-2y=\frac{38}{15}\\2x-6y=\frac{14}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+2y=\frac{-10}{33}\\6x=6y+\frac{98}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-199}{10}\\x=y+\frac{-151}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{190}{91}+5x\\-x+y=\frac{38}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{138}{187}-6x\\-x-4y=\frac{147}{187}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+5y=\frac{-13}{2}\\x=3y+\frac{7}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-2y=\frac{391}{57}\\-4x-y=\frac{-677}{171}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-5}{2}+3x\\-2x+y=\frac{17}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-y=\frac{1}{2}\\-6x-6y=-3\end{matrix}\right.\qquad V=\{(\frac{-1}{2},1)\}\)
2. \(\left\{\begin{matrix}-5x-3y=\frac{-1}{2}\\-x=-6y+\frac{-67}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{10},-1)\}\)
3. \(\left\{\begin{matrix}-x+6y=\frac{-211}{17}\\5x-5y=\frac{205}{17}\end{matrix}\right.\qquad V=\{(\frac{7}{17},-2)\}\)
4. \(\left\{\begin{matrix}3x-6y=\frac{-909}{110}\\x+2y=\frac{457}{110}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{19}{11})\}\)
5. \(\left\{\begin{matrix}-x-2y=\frac{38}{15}\\2x-6y=\frac{14}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-3}{5})\}\)
6. \(\left\{\begin{matrix}-x+2y=\frac{-10}{33}\\6x=6y+\frac{98}{11}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{13}{11})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-199}{10}\\x=y+\frac{-151}{20}\end{matrix}\right.\qquad V=\{(-7,\frac{11}{20})\}\)
8. \(\left\{\begin{matrix}5y=\frac{190}{91}+5x\\-x+y=\frac{38}{91}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-2}{13})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{138}{187}-6x\\-x-4y=\frac{147}{187}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{-2}{11})\}\)
10. \(\left\{\begin{matrix}-3x+5y=\frac{-13}{2}\\x=3y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-1)\}\)
11. \(\left\{\begin{matrix}6x-2y=\frac{391}{57}\\-4x-y=\frac{-677}{171}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{-5}{19})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-5}{2}+3x\\-2x+y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{3}{2})\}\)