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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=\frac{187}{30}\\6x=-y+\frac{-167}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{56}{5}+2x\\-2x+3y=\frac{-124}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-124}{15}+2x\\-x+4y=\frac{-436}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+3y=\frac{17}{6}\\6x=-y+\frac{23}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=8+2x\\-x+2y=6\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+4y=\frac{152}{15}\\-3x+y=\frac{24}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-32}{15}+x\\3x+6y=\frac{37}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+3y=\frac{-117}{7}\\-4x=y+\frac{95}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-101}{12}\\-x-y=\frac{-3}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{651}{95}-3x\\-6x-y=\frac{607}{190}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=-16+4x\\-4x-3y=-32\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-79}{9}+4x\\-3x-2y=\frac{-68}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=\frac{187}{30}\\6x=-y+\frac{-167}{30}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-1}{6})\}\)
2. \(\left\{\begin{matrix}-y=\frac{56}{5}+2x\\-2x+3y=\frac{-124}{5}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},-9)\}\)
3. \(\left\{\begin{matrix}3y=\frac{-124}{15}+2x\\-x+4y=\frac{-436}{45}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-20}{9})\}\)
4. \(\left\{\begin{matrix}6x+3y=\frac{17}{6}\\6x=-y+\frac{23}{6}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}2y=8+2x\\-x+2y=6\end{matrix}\right.\qquad V=\{(-2,2)\}\)
6. \(\left\{\begin{matrix}5x+4y=\frac{152}{15}\\-3x+y=\frac{24}{5}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{16}{5})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-32}{15}+x\\3x+6y=\frac{37}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{1}{3})\}\)
8. \(\left\{\begin{matrix}4x+3y=\frac{-117}{7}\\-4x=y+\frac{95}{7}\end{matrix}\right.\qquad V=\{(-3,\frac{-11}{7})\}\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-101}{12}\\-x-y=\frac{-3}{4}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{17}{12})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{651}{95}-3x\\-6x-y=\frac{607}{190}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{-13}{10})\}\)
11. \(\left\{\begin{matrix}y=-16+4x\\-4x-3y=-32\end{matrix}\right.\qquad V=\{(5,4)\}\)
12. \(\left\{\begin{matrix}-y=\frac{-79}{9}+4x\\-3x-2y=\frac{-68}{9}\end{matrix}\right.\qquad V=\{(2,\frac{7}{9})\}\)