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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-5y=\frac{59}{6}\\x=y+\frac{1}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{-37}{14}\\-4x+y=\frac{-89}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{38}{5}+6x\\-6x+y=\frac{71}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{233}{9}+3x\\6x-y=\frac{-578}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-840}{19}+3x\\-6x+y=\frac{-1610}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+6y=\frac{86}{15}\\2x-3y=\frac{-47}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{62}{39}+4x\\-3x+y=\frac{94}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+6y=\frac{-184}{5}\\6x-y=\frac{-236}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-3y=\frac{101}{5}\\-x+y=\frac{-62}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{139}{8}+x\\6x-5y=\frac{-117}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-y=\frac{-599}{45}\\2x=2y+\frac{188}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{487}{91}\\-5x+5y=\frac{365}{91}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-5y=\frac{59}{6}\\x=y+\frac{1}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-19}{15})\}\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{-37}{14}\\-4x+y=\frac{-89}{14}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}2y=\frac{38}{5}+6x\\-6x+y=\frac{71}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}4y=\frac{233}{9}+3x\\6x-y=\frac{-578}{9}\end{matrix}\right.\qquad V=\{(-11,\frac{-16}{9})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-840}{19}+3x\\-6x+y=\frac{-1610}{19}\end{matrix}\right.\qquad V=\{(14,\frac{-14}{19})\}\)
6. \(\left\{\begin{matrix}-x+6y=\frac{86}{15}\\2x-3y=\frac{-47}{30}\end{matrix}\right.\qquad V=\{(\frac{13}{15},\frac{11}{10})\}\)
7. \(\left\{\begin{matrix}6y=\frac{62}{39}+4x\\-3x+y=\frac{94}{117}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}4x+6y=\frac{-184}{5}\\6x-y=\frac{-236}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{-4}{5})\}\)
9. \(\left\{\begin{matrix}-6x-3y=\frac{101}{5}\\-x+y=\frac{-62}{15}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},-5)\}\)
10. \(\left\{\begin{matrix}5y=\frac{139}{8}+x\\6x-5y=\frac{-117}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},3)\}\)
11. \(\left\{\begin{matrix}-6x-y=\frac{-599}{45}\\2x=2y+\frac{188}{45}\end{matrix}\right.\qquad V=\{(\frac{11}{5},\frac{1}{9})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{487}{91}\\-5x+5y=\frac{365}{91}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-3}{7})\}\)