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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{119}{19}\\5x-y=\frac{-21}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+2y=\frac{49}{3}\\-x=5y+\frac{-1}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{171}{10}+6x\\-x+5y=\frac{29}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-y=\frac{-199}{153}\\-6x-6y=\frac{469}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-5y=\frac{-31}{6}\\4x+5y=\frac{-2}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-5y=\frac{21}{4}\\-x=-6y+\frac{77}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{20}{13}\\x=6y+\frac{80}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-40}{3}\\x+2y=\frac{-29}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+y=\frac{63}{221}\\-5x=-6y+\frac{196}{221}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-3y=\frac{-68}{11}\\3x+6y=\frac{126}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-99}{28}+x\\3x+4y=\frac{57}{28}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+5y=\frac{-75}{14}\\-5x-6y=\frac{206}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{119}{19}\\5x-y=\frac{-21}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},4)\}\)
2. \(\left\{\begin{matrix}4x+2y=\frac{49}{3}\\-x=5y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{-5}{6})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{171}{10}+6x\\-x+5y=\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{4}{5})\}\)
4. \(\left\{\begin{matrix}2x-y=\frac{-199}{153}\\-6x-6y=\frac{469}{51}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{-10}{17})\}\)
5. \(\left\{\begin{matrix}x-5y=\frac{-31}{6}\\4x+5y=\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{4}{5})\}\)
6. \(\left\{\begin{matrix}-5x-5y=\frac{21}{4}\\-x=-6y+\frac{77}{10}\end{matrix}\right.\qquad V=\{(-2,\frac{19}{20})\}\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{20}{13}\\x=6y+\frac{80}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},-1)\}\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-40}{3}\\x+2y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-13}{3})\}\)
9. \(\left\{\begin{matrix}-x+y=\frac{63}{221}\\-5x=-6y+\frac{196}{221}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{-7}{13})\}\)
10. \(\left\{\begin{matrix}x-3y=\frac{-68}{11}\\3x+6y=\frac{126}{11}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},2)\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-99}{28}+x\\3x+4y=\frac{57}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{15}{14})\}\)
12. \(\left\{\begin{matrix}x+5y=\frac{-75}{14}\\-5x-6y=\frac{206}{35}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-11}{10})\}\)