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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-6y=\frac{52}{9}\\-2x=-2y+\frac{-14}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-5y=\frac{400}{91}\\-6x=y+\frac{353}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{-119}{18}\\x-6y=\frac{-277}{36}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{613}{9}\\-x=6y+\frac{-655}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-3y=\frac{-679}{144}\\x+y=\frac{-179}{144}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{16}{5}-2x\\-x-4y=\frac{-103}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-161}{40}+6x\\4x+5y=-1\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{-28}{9}\\-4x=-y+\frac{-38}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=\frac{111}{10}\\x+y=\frac{9}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{-85}{4}\\x+5y=\frac{-35}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+4y=\frac{-5}{3}\\3x=4y+\frac{-7}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+6y=\frac{352}{51}\\-x-6y=\frac{-337}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-6y=\frac{52}{9}\\-2x=-2y+\frac{-14}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},-1)\}\)
2. \(\left\{\begin{matrix}5x-5y=\frac{400}{91}\\-6x=y+\frac{353}{91}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-17}{13})\}\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{-119}{18}\\x-6y=\frac{-277}{36}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{11}{8})\}\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{613}{9}\\-x=6y+\frac{-655}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},12)\}\)
5. \(\left\{\begin{matrix}5x-3y=\frac{-679}{144}\\x+y=\frac{-179}{144}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{-3}{16})\}\)
6. \(\left\{\begin{matrix}3y=\frac{16}{5}-2x\\-x-4y=\frac{-103}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{11}{15})\}\)
7. \(\left\{\begin{matrix}y=\frac{-161}{40}+6x\\4x+5y=-1\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{-13}{20})\}\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{-28}{9}\\-4x=-y+\frac{-38}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-2}{3})\}\)
9. \(\left\{\begin{matrix}5x-6y=\frac{111}{10}\\x+y=\frac{9}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{-85}{4}\\x+5y=\frac{-35}{4}\end{matrix}\right.\qquad V=\{(15,\frac{-19}{4})\}\)
11. \(\left\{\begin{matrix}x+4y=\frac{-5}{3}\\3x=4y+\frac{-7}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{6})\}\)
12. \(\left\{\begin{matrix}-4x+6y=\frac{352}{51}\\-x-6y=\frac{-337}{51}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{10}{9})\}\)