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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{-620}{63}\\-x=-4y+\frac{-404}{63}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{5}{3}+2x\\x+y=\frac{-10}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+4y=-15\\-x=-4y+-7\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+4y=\frac{63}{5}\\x=-4y+\frac{151}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{165}{112}-3x\\x-3y=\frac{-29}{112}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{77}{10}+2x\\x+4y=\frac{14}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{11}{4}\\-x=5y+\frac{41}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{-123}{14}\\3x=y+\frac{25}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-38}{15}+3x\\-x+y=\frac{-11}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-5}{8}\\x-6y=\frac{-49}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+4y=\frac{-3}{2}\\6x+y=\frac{23}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+6y=\frac{-32}{5}\\6x+2y=\frac{-47}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{-620}{63}\\-x=-4y+\frac{-404}{63}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-17}{9})\}\)
2. \(\left\{\begin{matrix}4y=\frac{5}{3}+2x\\x+y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-5}{6})\}\)
3. \(\left\{\begin{matrix}-5x+4y=-15\\-x=-4y+-7\end{matrix}\right.\qquad V=\{(2,\frac{-5}{4})\}\)
4. \(\left\{\begin{matrix}3x+4y=\frac{63}{5}\\x=-4y+\frac{151}{15}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{11}{5})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{165}{112}-3x\\x-3y=\frac{-29}{112}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{9}{16})\}\)
6. \(\left\{\begin{matrix}6y=\frac{77}{10}+2x\\x+4y=\frac{14}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{19}{20})\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{11}{4}\\-x=5y+\frac{41}{4}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{4})\}\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{-123}{14}\\3x=y+\frac{25}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{14},1)\}\)
9. \(\left\{\begin{matrix}4y=\frac{-38}{15}+3x\\-x+y=\frac{-11}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-1}{3})\}\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-5}{8}\\x-6y=\frac{-49}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{15}{8})\}\)
11. \(\left\{\begin{matrix}-4x+4y=\frac{-3}{2}\\6x+y=\frac{23}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}x+6y=\frac{-32}{5}\\6x+2y=\frac{-47}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-13}{12})\}\)