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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{7}{8}\\4x=y+\frac{13}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{223}{90}+3x\\5x-5y=\frac{-101}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{281}{63}+2x\\6x-4y=\frac{-892}{63}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-2y=\frac{29}{10}\\3x-y=\frac{-11}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=-108-5x\\-x-2y=\frac{80}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=7+4x\\6x-y=-14\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-5y=\frac{-86}{13}\\-x-6y=\frac{-478}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{13}{22}+2x\\-5x+y=\frac{-343}{44}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+5y=\frac{467}{18}\\x-4y=\frac{22}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{-1143}{208}\\-2x=y+\frac{-541}{208}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-37}{15}+5x\\-x+5y=\frac{71}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-655}{171}\\-x=4y+\frac{274}{171}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{7}{8}\\4x=y+\frac{13}{16}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{19}{16})\}\)
2. \(\left\{\begin{matrix}-y=\frac{223}{90}+3x\\5x-5y=\frac{-101}{18}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{2}{9})\}\)
3. \(\left\{\begin{matrix}-y=\frac{281}{63}+2x\\6x-4y=\frac{-892}{63}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{1}{9})\}\)
4. \(\left\{\begin{matrix}-4x-2y=\frac{29}{10}\\3x-y=\frac{-11}{20}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-13}{20})\}\)
5. \(\left\{\begin{matrix}6y=-108-5x\\-x-2y=\frac{80}{3}\end{matrix}\right.\qquad V=\{(-14,\frac{-19}{3})\}\)
6. \(\left\{\begin{matrix}3y=7+4x\\6x-y=-14\end{matrix}\right.\qquad V=\{(\frac{-5}{2},-1)\}\)
7. \(\left\{\begin{matrix}-4x-5y=\frac{-86}{13}\\-x-6y=\frac{-478}{65}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{6}{5})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{13}{22}+2x\\-5x+y=\frac{-343}{44}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-17}{11})\}\)
9. \(\left\{\begin{matrix}6x+5y=\frac{467}{18}\\x-4y=\frac{22}{9}\end{matrix}\right.\qquad V=\{(4,\frac{7}{18})\}\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{-1143}{208}\\-2x=y+\frac{-541}{208}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{17}{16})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-37}{15}+5x\\-x+5y=\frac{71}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{14}{15})\}\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-655}{171}\\-x=4y+\frac{274}{171}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{-15}{19})\}\)