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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+4y=\frac{331}{12}\\-3x=-y+\frac{-91}{24}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-6y=\frac{-131}{19}\\x=-y+\frac{-77}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{15}{8}-5x\\x-4y=\frac{21}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{211}{34}+3x\\-x-y=\frac{49}{34}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-4y=\frac{478}{17}\\x=y+\frac{120}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-1}{12}\\4x=y+\frac{53}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+2y=\frac{-9}{10}\\-2x-y=\frac{27}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{2016}{19}+6x\\2x-y=\frac{-349}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-3y=\frac{-51}{2}\\-x=4y+\frac{-323}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-5y=\frac{181}{19}\\-6x+y=\frac{-113}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-6y=2\\-x+3y=-1\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-y=\frac{5}{14}\\2x=-6y+\frac{-95}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+4y=\frac{331}{12}\\-3x=-y+\frac{-91}{24}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{10}{3})\}\)
2. \(\left\{\begin{matrix}3x-6y=\frac{-131}{19}\\x=-y+\frac{-77}{57}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{6}{19})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{15}{8}-5x\\x-4y=\frac{21}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-9}{8})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{211}{34}+3x\\-x-y=\frac{49}{34}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-16}{17})\}\)
5. \(\left\{\begin{matrix}2x-4y=\frac{478}{17}\\x=y+\frac{120}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{17},-7)\}\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-1}{12}\\4x=y+\frac{53}{15}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}-2x+2y=\frac{-9}{10}\\-2x-y=\frac{27}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-6}{5})\}\)
8. \(\left\{\begin{matrix}6y=\frac{2016}{19}+6x\\2x-y=\frac{-349}{19}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},17)\}\)
9. \(\left\{\begin{matrix}-5x-3y=\frac{-51}{2}\\-x=4y+\frac{-323}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},8)\}\)
10. \(\left\{\begin{matrix}6x-5y=\frac{181}{19}\\-6x+y=\frac{-113}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{-17}{19})\}\)
11. \(\left\{\begin{matrix}2x-6y=2\\-x+3y=-1\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{6})\}\)
12. \(\left\{\begin{matrix}-3x-y=\frac{5}{14}\\2x=-6y+\frac{-95}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-5}{2})\}\)