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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-69}{77}-x\\2x+2y=\frac{-50}{77}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{88}{9}+4x\\4x-y=\frac{-43}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-109}{20}\\x+2y=\frac{37}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{95}{3}\\-x=-6y+\frac{-74}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+2y=\frac{29}{13}\\-5x+6y=\frac{-49}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+3y=\frac{-3}{2}\\-5x+2y=\frac{-29}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+6y=\frac{-653}{70}\\-6x+4y=\frac{-199}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{-202}{33}\\-6x=y+\frac{-205}{33}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-2y=\frac{236}{5}\\x=5y+-1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-4y=\frac{56}{15}\\x=-y+\frac{26}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+y=\frac{-23}{5}\\-6x-6y=\frac{-2}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-202}{17}+4x\\-2x-y=\frac{-31}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-69}{77}-x\\2x+2y=\frac{-50}{77}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}6y=\frac{88}{9}+4x\\4x-y=\frac{-43}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},1)\}\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-109}{20}\\x+2y=\frac{37}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},1)\}\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{95}{3}\\-x=-6y+\frac{-74}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-9}{2})\}\)
5. \(\left\{\begin{matrix}x+2y=\frac{29}{13}\\-5x+6y=\frac{-49}{13}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{6}{13})\}\)
6. \(\left\{\begin{matrix}-x+3y=\frac{-3}{2}\\-5x+2y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(2,\frac{1}{6})\}\)
7. \(\left\{\begin{matrix}-x+6y=\frac{-653}{70}\\-6x+4y=\frac{-199}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-11}{7})\}\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{-202}{33}\\-6x=y+\frac{-205}{33}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}-3x-2y=\frac{236}{5}\\x=5y+-1\end{matrix}\right.\qquad V=\{(-14,\frac{-13}{5})\}\)
10. \(\left\{\begin{matrix}4x-4y=\frac{56}{15}\\x=-y+\frac{26}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{2}{5})\}\)
11. \(\left\{\begin{matrix}-3x+y=\frac{-23}{5}\\-6x-6y=\frac{-2}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-11}{10})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-202}{17}+4x\\-2x-y=\frac{-31}{17}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-20}{17})\}\)