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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-y=\frac{-110}{13}\\-3x-5y=\frac{-462}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{28}{9}+2x\\-x-3y=\frac{17}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-16}{3}-3x\\5x-y=\frac{-44}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=\frac{-173}{33}\\-x=-y+\frac{68}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+6y=\frac{28}{9}\\x=-y+\frac{-4}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+y=\frac{19}{24}\\-6x+5y=\frac{-185}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{40}{3}-2x\\4x-y=\frac{337}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{345}{34}\\-x=-y+\frac{-151}{34}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-3y=\frac{-1}{24}\\-2x+4y=\frac{-37}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{59}{15}-4x\\x-4y=\frac{-53}{60}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{-2184}{95}\\-2x=-y+\frac{184}{95}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-7}{18}-x\\-4x+2y=\frac{-1}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-y=\frac{-110}{13}\\-3x-5y=\frac{-462}{65}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{6}{13})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{28}{9}+2x\\-x-3y=\frac{17}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-1}{3})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-16}{3}-3x\\5x-y=\frac{-44}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},1)\}\)
4. \(\left\{\begin{matrix}4x+5y=\frac{-173}{33}\\-x=-y+\frac{68}{33}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{1}{3})\}\)
5. \(\left\{\begin{matrix}-2x+6y=\frac{28}{9}\\x=-y+\frac{-4}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{5}{18})\}\)
6. \(\left\{\begin{matrix}5x+y=\frac{19}{24}\\-6x+5y=\frac{-185}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-7}{3})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{40}{3}-2x\\4x-y=\frac{337}{15}\end{matrix}\right.\qquad V=\{(\frac{11}{2},\frac{-7}{15})\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{345}{34}\\-x=-y+\frac{-151}{34}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-11}{2})\}\)
9. \(\left\{\begin{matrix}x-3y=\frac{-1}{24}\\-2x+4y=\frac{-37}{36}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{5}{9})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{59}{15}-4x\\x-4y=\frac{-53}{60}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{8}{15})\}\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{-2184}{95}\\-2x=-y+\frac{184}{95}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{16}{5})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-7}{18}-x\\-4x+2y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{17}{18})\}\)