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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{89}{66}-2x\\5x+6y=\frac{5}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-y=\frac{491}{17}\\-4x+4y=\frac{-536}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-11}{3}+4x\\-4x+y=\frac{-17}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+5y=\frac{155}{72}\\x=y+\frac{41}{72}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-y=\frac{-1479}{154}\\5x=-3y+\frac{-1359}{154}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{1226}{117}\\x-2y=\frac{166}{117}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-5y=\frac{-34}{15}\\4x=-3y+\frac{-67}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{211}{8}\\4x=y+\frac{-1}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{16}{3}-x\\4x-2y=\frac{-44}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{86}{3}\\-x+6y=\frac{13}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{445}{68}\\x=-y+\frac{-89}{68}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{58}{9}+x\\-2x+5y=\frac{-79}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{89}{66}-2x\\5x+6y=\frac{5}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-5}{6})\}\)
2. \(\left\{\begin{matrix}4x-y=\frac{491}{17}\\-4x+4y=\frac{-536}{17}\end{matrix}\right.\qquad V=\{(7,\frac{-15}{17})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-11}{3}+4x\\-4x+y=\frac{-17}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-3}{4})\}\)
4. \(\left\{\begin{matrix}3x+5y=\frac{155}{72}\\x=y+\frac{41}{72}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{1}{18})\}\)
5. \(\left\{\begin{matrix}6x-y=\frac{-1479}{154}\\5x=-3y+\frac{-1359}{154}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{-3}{14})\}\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{1226}{117}\\x-2y=\frac{166}{117}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-15}{13})\}\)
7. \(\left\{\begin{matrix}x-5y=\frac{-34}{15}\\4x=-3y+\frac{-67}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{211}{8}\\4x=y+\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{15}{8},8)\}\)
9. \(\left\{\begin{matrix}-2y=\frac{16}{3}-x\\4x-2y=\frac{-44}{3}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},-6)\}\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{86}{3}\\-x+6y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{-19}{18})\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{445}{68}\\x=-y+\frac{-89}{68}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-1}{4})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{58}{9}+x\\-2x+5y=\frac{-79}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-5}{3})\}\)