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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-5y=\frac{-980}{9}\\x=-6y+\frac{-100}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-35}{247}\\x=4y+\frac{-714}{247}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-6y=\frac{-23}{7}\\x=-2y+\frac{-5}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-29}{13}-x\\5x-5y=\frac{135}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-2y=\frac{49}{11}\\-x-3y=\frac{160}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{1220}{33}\\-5x=-y+\frac{1160}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-67}{6}-x\\-3x+5y=\frac{-173}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{82}{7}+6x\\-x-3y=\frac{160}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-6y=\frac{1142}{133}\\x-3y=\frac{683}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+5y=\frac{-2435}{171}\\-x+6y=\frac{-395}{171}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-y=\frac{-1127}{285}\\4x=-2y+\frac{-1622}{285}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-40}{33}+x\\3x+5y=\frac{60}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-5y=\frac{-980}{9}\\x=-6y+\frac{-100}{3}\end{matrix}\right.\qquad V=\{(-20,\frac{-20}{9})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{-35}{247}\\x=4y+\frac{-714}{247}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{7}{13})\}\)
3. \(\left\{\begin{matrix}-6x-6y=\frac{-23}{7}\\x=-2y+\frac{-5}{21}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-11}{14})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-29}{13}-x\\5x-5y=\frac{135}{13}\end{matrix}\right.\qquad V=\{(1,\frac{-14}{13})\}\)
5. \(\left\{\begin{matrix}3x-2y=\frac{49}{11}\\-x-3y=\frac{160}{33}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-19}{11})\}\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{1220}{33}\\-5x=-y+\frac{1160}{33}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{20}{11})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-67}{6}-x\\-3x+5y=\frac{-173}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-17}{3})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{82}{7}+6x\\-x-3y=\frac{160}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-17}{7})\}\)
9. \(\left\{\begin{matrix}-2x-6y=\frac{1142}{133}\\x-3y=\frac{683}{133}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-11}{7})\}\)
10. \(\left\{\begin{matrix}5x+5y=\frac{-2435}{171}\\-x+6y=\frac{-395}{171}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{-14}{19})\}\)
11. \(\left\{\begin{matrix}4x-y=\frac{-1127}{285}\\4x=-2y+\frac{-1622}{285}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{-11}{19})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-40}{33}+x\\3x+5y=\frac{60}{11}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{1}{11})\}\)