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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-y=\frac{274}{35}\\-5x+5y=\frac{6}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{-31}{9}\\-3x=-6y+\frac{-83}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-17}{5}+5x\\x-5y=-15\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=-2+x\\-5x+5y=0\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{41}{20}\\6x-4y=\frac{-37}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+6y=3\\-5x=y+\frac{7}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{250}{117}\\x=-3y+\frac{-7}{234}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+y=\frac{9}{4}\\2x+5y=\frac{-19}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-1102}{99}-3x\\x-2y=\frac{-470}{99}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-2y=-15\\5x-y=\frac{69}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-5y=\frac{-388}{19}\\-x-y=\frac{-72}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{-89}{6}\\5x+y=\frac{193}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-y=\frac{274}{35}\\-5x+5y=\frac{6}{7}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-10}{7})\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{-31}{9}\\-3x=-6y+\frac{-83}{3}\end{matrix}\right.\qquad V=\{(5,\frac{-19}{9})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-17}{5}+5x\\x-5y=-15\end{matrix}\right.\qquad V=\{(-1,\frac{14}{5})\}\)
4. \(\left\{\begin{matrix}-y=-2+x\\-5x+5y=0\end{matrix}\right.\qquad V=\{(1,1)\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{41}{20}\\6x-4y=\frac{-37}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{5})\}\)
6. \(\left\{\begin{matrix}6x+6y=3\\-5x=y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{250}{117}\\x=-3y+\frac{-7}{234}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{3}{13})\}\)
8. \(\left\{\begin{matrix}-2x+y=\frac{9}{4}\\2x+5y=\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-5}{12})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-1102}{99}-3x\\x-2y=\frac{-470}{99}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{14}{9})\}\)
10. \(\left\{\begin{matrix}-2x-2y=-15\\5x-y=\frac{69}{2}\end{matrix}\right.\qquad V=\{(7,\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}2x-5y=\frac{-388}{19}\\-x-y=\frac{-72}{19}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},4)\}\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{-89}{6}\\5x+y=\frac{193}{18}\end{matrix}\right.\qquad V=\{(\frac{17}{18},6)\}\)