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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-321}{130}+2x\\6x+y=\frac{-207}{130}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+2y=\frac{1}{10}\\6x+5y=13\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-y=\frac{29}{10}\\-6x=4y+\frac{71}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{21}{40}-4x\\6x+3y=\frac{159}{40}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{221}{4}-6x\\-6x+y=\frac{-427}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{93}{14}+x\\-3x+4y=\frac{-29}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{56}{15}\\-x=y+\frac{13}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{69}{5}\\4x+y=\frac{-59}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{1376}{99}\\-x-y=\frac{389}{99}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-13}{10}+2x\\-x-5y=\frac{-13}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-2y=\frac{-109}{39}\\x+y=\frac{233}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{425}{42}\\3x+6y=\frac{-17}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-321}{130}+2x\\6x+y=\frac{-207}{130}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{-9}{13})\}\)
2. \(\left\{\begin{matrix}-x+2y=\frac{1}{10}\\6x+5y=13\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{4}{5})\}\)
3. \(\left\{\begin{matrix}-6x-y=\frac{29}{10}\\-6x=4y+\frac{71}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-7}{5})\}\)
4. \(\left\{\begin{matrix}y=\frac{21}{40}-4x\\6x+3y=\frac{159}{40}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{17}{8})\}\)
5. \(\left\{\begin{matrix}2y=\frac{221}{4}-6x\\-6x+y=\frac{-427}{8}\end{matrix}\right.\qquad V=\{(9,\frac{5}{8})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{93}{14}+x\\-3x+4y=\frac{-29}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},-1)\}\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{56}{15}\\-x=y+\frac{13}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{15},-1)\}\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{69}{5}\\4x+y=\frac{-59}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-15}{2})\}\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{1376}{99}\\-x-y=\frac{389}{99}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-19}{9})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-13}{10}+2x\\-x-5y=\frac{-13}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{1}{15})\}\)
11. \(\left\{\begin{matrix}5x-2y=\frac{-109}{39}\\x+y=\frac{233}{39}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{14}{3})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{425}{42}\\3x+6y=\frac{-17}{14}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{17}{14})\}\)