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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{85}{9}+4x\\x-3y=\frac{-10}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+3y=\frac{170}{9}\\-3x=-4y+\frac{145}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{-464}{65}\\-3x-y=\frac{-296}{65}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{16}{9}-2x\\5x+y=\frac{44}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{10}{221}-3x\\x-y=\frac{-66}{221}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-537}{104}-4x\\-3x+2y=\frac{255}{52}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{302}{85}-5x\\-x+2y=\frac{-6}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{-599}{17}\\-6x-3y=\frac{-1185}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-113}{34}-x\\-2x-5y=\frac{-369}{34}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-y=\frac{-37}{20}\\4x=-5y+\frac{-1}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-5y=\frac{-352}{51}\\-6x=-y+\frac{198}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{20}{11}-4x\\-x-3y=\frac{-27}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{85}{9}+4x\\x-3y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{5}{9})\}\)
2. \(\left\{\begin{matrix}-x+3y=\frac{170}{9}\\-3x=-4y+\frac{145}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{13}{2})\}\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{-464}{65}\\-3x-y=\frac{-296}{65}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{2}{5})\}\)
4. \(\left\{\begin{matrix}2y=\frac{16}{9}-2x\\5x+y=\frac{44}{9}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{9})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{10}{221}-3x\\x-y=\frac{-66}{221}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{-8}{17})\}\)
6. \(\left\{\begin{matrix}y=\frac{-537}{104}-4x\\-3x+2y=\frac{255}{52}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{3}{8})\}\)
7. \(\left\{\begin{matrix}6y=\frac{302}{85}-5x\\-x+2y=\frac{-6}{85}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{-599}{17}\\-6x-3y=\frac{-1185}{17}\end{matrix}\right.\qquad V=\{(12,\frac{-13}{17})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-113}{34}-x\\-2x-5y=\frac{-369}{34}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{5}{2})\}\)
10. \(\left\{\begin{matrix}-6x-y=\frac{-37}{20}\\4x=-5y+\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-2}{5})\}\)
11. \(\left\{\begin{matrix}2x-5y=\frac{-352}{51}\\-6x=-y+\frac{198}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{11}{17})\}\)
12. \(\left\{\begin{matrix}4y=\frac{20}{11}-4x\\-x-3y=\frac{-27}{11}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},1)\}\)