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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{-287}{99}\\-5x=-4y+\frac{-104}{99}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-247}{33}+4x\\-6x-6y=\frac{-206}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-519}{68}+3x\\-x+4y=\frac{-197}{34}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-2y=\frac{-13}{15}\\-x-6y=\frac{-79}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{-67}{20}\\6x=y+\frac{-263}{40}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-5y=\frac{113}{36}\\x=-2y+\frac{217}{144}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-3y=\frac{144}{7}\\-x=y+\frac{-51}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-4y=\frac{1259}{114}\\x+6y=\frac{211}{114}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-227}{102}+4x\\-3x+2y=\frac{-32}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{31}{15}\\-x-6y=\frac{-58}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=\frac{25}{4}\\-x-3y=\frac{-5}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{-23}{6}\\x=-y+\frac{23}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{-287}{99}\\-5x=-4y+\frac{-104}{99}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-9}{11})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-247}{33}+4x\\-6x-6y=\frac{-206}{11}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{5}{3})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-519}{68}+3x\\-x+4y=\frac{-197}{34}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{-13}{8})\}\)
4. \(\left\{\begin{matrix}-4x-2y=\frac{-13}{15}\\-x-6y=\frac{-79}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{17}{6})\}\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{-67}{20}\\6x=y+\frac{-263}{40}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{7}{8})\}\)
6. \(\left\{\begin{matrix}4x-5y=\frac{113}{36}\\x=-2y+\frac{217}{144}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{2}{9})\}\)
7. \(\left\{\begin{matrix}6x-3y=\frac{144}{7}\\-x=y+\frac{-51}{14}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{1}{7})\}\)
8. \(\left\{\begin{matrix}5x-4y=\frac{1259}{114}\\x+6y=\frac{211}{114}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{-1}{19})\}\)
9. \(\left\{\begin{matrix}y=\frac{-227}{102}+4x\\-3x+2y=\frac{-32}{51}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{5}{6})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{31}{15}\\-x-6y=\frac{-58}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{7}{10})\}\)
11. \(\left\{\begin{matrix}6x+4y=\frac{25}{4}\\-x-3y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{5}{8})\}\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{-23}{6}\\x=-y+\frac{23}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{7}{6})\}\)