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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{185}{33}-3x\\-4x+y=\frac{-713}{99}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-104}{153}-6x\\-x-y=\frac{-28}{153}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-1021}{266}\\-2x=-y+\frac{107}{266}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-92}{21}-2x\\x+y=\frac{94}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=8+6x\\-6x+y=4\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{169}{42}-5x\\-x+6y=\frac{355}{42}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-151}{22}\\3x-y=\frac{-17}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{7}{4}+2x\\x+3y=\frac{-7}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+5y=\frac{417}{14}\\-3x-3y=\frac{-327}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-y=\frac{-88}{3}\\-2x+5y=\frac{-8}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+2y=\frac{-222}{11}\\x=-6y+\frac{-785}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-2y=\frac{269}{117}\\-x=3y+\frac{-31}{78}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{185}{33}-3x\\-4x+y=\frac{-713}{99}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{-1}{11})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-104}{153}-6x\\-x-y=\frac{-28}{153}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{8}{9})\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-1021}{266}\\-2x=-y+\frac{107}{266}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{13}{14})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-92}{21}-2x\\x+y=\frac{94}{21}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{10}{3})\}\)
5. \(\left\{\begin{matrix}5y=8+6x\\-6x+y=4\end{matrix}\right.\qquad V=\{(\frac{-1}{2},1)\}\)
6. \(\left\{\begin{matrix}-3y=\frac{169}{42}-5x\\-x+6y=\frac{355}{42}\end{matrix}\right.\qquad V=\{(\frac{11}{6},\frac{12}{7})\}\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-151}{22}\\3x-y=\frac{-17}{22}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-8}{11})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{7}{4}+2x\\x+3y=\frac{-7}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}x+5y=\frac{417}{14}\\-3x-3y=\frac{-327}{14}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{11}{2})\}\)
10. \(\left\{\begin{matrix}-6x-y=\frac{-88}{3}\\-2x+5y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{4}{3})\}\)
11. \(\left\{\begin{matrix}6x+2y=\frac{-222}{11}\\x=-6y+\frac{-785}{11}\end{matrix}\right.\qquad V=\{(\frac{7}{11},-12)\}\)
12. \(\left\{\begin{matrix}-4x-2y=\frac{269}{117}\\-x=3y+\frac{-31}{78}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{7}{18})\}\)