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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+y=\frac{1}{12}\\-6x=3y+\frac{-7}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-177}{20}-3x\\6x+y=\frac{-67}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+2y=\frac{488}{33}\\-x=3y+\frac{38}{33}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-3y=\frac{33}{4}\\-x=-4y+3\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{915}{16}\\-6x=-y+\frac{75}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{-65}{14}\\-x+y=\frac{-51}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-6y=\frac{386}{19}\\x=y+\frac{68}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-173}{14}-3x\\x+y=\frac{17}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-359}{85}-x\\4x+4y=\frac{434}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{-233}{104}\\2x=y+\frac{505}{208}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-y=\frac{34}{15}\\2x-5y=2\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+6y=\frac{13}{2}\\-3x-3y=\frac{41}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+y=\frac{1}{12}\\-6x=3y+\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{1}{4})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-177}{20}-3x\\6x+y=\frac{-67}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-11}{5})\}\)
3. \(\left\{\begin{matrix}-4x+2y=\frac{488}{33}\\-x=3y+\frac{38}{33}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{8}{11})\}\)
4. \(\left\{\begin{matrix}6x-3y=\frac{33}{4}\\-x=-4y+3\end{matrix}\right.\qquad V=\{(2,\frac{5}{4})\}\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{915}{16}\\-6x=-y+\frac{75}{8}\end{matrix}\right.\qquad V=\{(\frac{15}{16},15)\}\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{-65}{14}\\-x+y=\frac{-51}{28}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}4x-6y=\frac{386}{19}\\x=y+\frac{68}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},-3)\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-173}{14}-3x\\x+y=\frac{17}{14}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},2)\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-359}{85}-x\\4x+4y=\frac{434}{85}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{11}{10})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{-233}{104}\\2x=y+\frac{505}{208}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{3}{16})\}\)
11. \(\left\{\begin{matrix}-x-y=\frac{34}{15}\\2x-5y=2\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-14}{15})\}\)
12. \(\left\{\begin{matrix}x+6y=\frac{13}{2}\\-3x-3y=\frac{41}{2}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{8}{3})\}\)