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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=\frac{-142}{85}\\-2x=2y+\frac{206}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+2y=\frac{-528}{323}\\-x+y=\frac{-230}{323}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-4y=\frac{-73}{30}\\-x=5y+\frac{29}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-5y=\frac{55}{3}\\x-5y=\frac{71}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{124}{17}\\-5x+y=\frac{38}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-y=\frac{-67}{19}\\-2x-6y=\frac{86}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-6y=\frac{51}{20}\\-5x=-3y+\frac{-15}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-4}{33}+6x\\2x+y=\frac{268}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+y=\frac{94}{15}\\4x=-5y+\frac{-46}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=-30+4x\\-2x-y=\frac{-3}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+3y=\frac{-143}{6}\\-x-2y=\frac{110}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{-371}{10}\\4x-3y=\frac{-241}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=\frac{-142}{85}\\-2x=2y+\frac{206}{85}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-7}{17})\}\)
2. \(\left\{\begin{matrix}2x+2y=\frac{-528}{323}\\-x+y=\frac{-230}{323}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{-13}{17})\}\)
3. \(\left\{\begin{matrix}-5x-4y=\frac{-73}{30}\\-x=5y+\frac{29}{6}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-19}{15})\}\)
4. \(\left\{\begin{matrix}5x-5y=\frac{55}{3}\\x-5y=\frac{71}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-5)\}\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{124}{17}\\-5x+y=\frac{38}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},-1)\}\)
6. \(\left\{\begin{matrix}-6x-y=\frac{-67}{19}\\-2x-6y=\frac{86}{57}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-9}{19})\}\)
7. \(\left\{\begin{matrix}-x-6y=\frac{51}{20}\\-5x=-3y+\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}6y=\frac{-4}{33}+6x\\2x+y=\frac{268}{99}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{8}{9})\}\)
9. \(\left\{\begin{matrix}-2x+y=\frac{94}{15}\\4x=-5y+\frac{-46}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-2}{5})\}\)
10. \(\left\{\begin{matrix}-5y=-30+4x\\-2x-y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},9)\}\)
11. \(\left\{\begin{matrix}2x+3y=\frac{-143}{6}\\-x-2y=\frac{110}{9}\end{matrix}\right.\qquad V=\{(-11,\frac{-11}{18})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{-371}{10}\\4x-3y=\frac{-241}{10}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{15}{2})\}\)