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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+3y=-41\\-x=-3y+\frac{-158}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-279}{52}+6x\\x+y=\frac{69}{104}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-356}{19}-2x\\3x+y=\frac{129}{38}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-839}{10}\\6x=-y+\frac{-1933}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+6y=\frac{-621}{7}\\-x=-2y+\frac{87}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-2y=-28\\5x-y=-23\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-53}{5}+2x\\4x+2y=\frac{94}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{251}{16}-x\\-4x-6y=\frac{101}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=49\\-2x=y+\frac{31}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-101}{6}-x\\-4x+5y=\frac{52}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{26}{3}+2x\\4x-y=\frac{-16}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-205}{19}-6x\\6x+2y=\frac{-217}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+3y=-41\\-x=-3y+\frac{-158}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},-17)\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-279}{52}+6x\\x+y=\frac{69}{104}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-6}{13})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-356}{19}-2x\\3x+y=\frac{129}{38}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{9}{2})\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-839}{10}\\6x=-y+\frac{-1933}{20}\end{matrix}\right.\qquad V=\{(-16,\frac{-13}{20})\}\)
5. \(\left\{\begin{matrix}6x+6y=\frac{-621}{7}\\-x=-2y+\frac{87}{7}\end{matrix}\right.\qquad V=\{(-14,\frac{-11}{14})\}\)
6. \(\left\{\begin{matrix}4x-2y=-28\\5x-y=-23\end{matrix}\right.\qquad V=\{(-3,8)\}\)
7. \(\left\{\begin{matrix}y=\frac{-53}{5}+2x\\4x+2y=\frac{94}{5}\end{matrix}\right.\qquad V=\{(5,\frac{-3}{5})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{251}{16}-x\\-4x-6y=\frac{101}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},-4)\}\)
9. \(\left\{\begin{matrix}-6x+2y=49\\-2x=y+\frac{31}{2}\end{matrix}\right.\qquad V=\{(-8,\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-101}{6}-x\\-4x+5y=\frac{52}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{10}{3})\}\)
11. \(\left\{\begin{matrix}5y=\frac{26}{3}+2x\\4x-y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{3})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-205}{19}-6x\\6x+2y=\frac{-217}{19}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{-4}{19})\}\)