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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{19}{10}+6x\\-6x+4y=\frac{8}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-34}{9}+2x\\x+y=\frac{17}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-195}{11}+4x\\-x-2y=\frac{-205}{44}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-345}{34}+3x\\-3x+y=\frac{-265}{68}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-195}{56}-2x\\-2x-2y=\frac{59}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-2y=\frac{-1516}{19}\\4x=y+\frac{-1005}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+3y=\frac{620}{19}\\-4x=5y+\frac{-1073}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-4y=\frac{-202}{33}\\-4x+y=\frac{1}{33}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-6y=\frac{114}{11}\\4x=y+-3\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+2y=\frac{25}{9}\\x=5y+\frac{-13}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{99}{104}-2x\\x-y=\frac{-9}{104}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+6y=\frac{-51}{76}\\-x+3y=\frac{291}{152}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{19}{10}+6x\\-6x+4y=\frac{8}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-1}{10})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-34}{9}+2x\\x+y=\frac{17}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},1)\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-195}{11}+4x\\-x-2y=\frac{-205}{44}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{5}{11})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-345}{34}+3x\\-3x+y=\frac{-265}{68}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{-5}{4})\}\)
5. \(\left\{\begin{matrix}y=\frac{-195}{56}-2x\\-2x-2y=\frac{59}{28}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{11}{8})\}\)
6. \(\left\{\begin{matrix}6x-2y=\frac{-1516}{19}\\4x=y+\frac{-1005}{19}\end{matrix}\right.\qquad V=\{(-13,\frac{17}{19})\}\)
7. \(\left\{\begin{matrix}-x+3y=\frac{620}{19}\\-4x=5y+\frac{-1073}{19}\end{matrix}\right.\qquad V=\{(\frac{7}{19},11)\}\)
8. \(\left\{\begin{matrix}-2x-4y=\frac{-202}{33}\\-4x+y=\frac{1}{33}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{15}{11})\}\)
9. \(\left\{\begin{matrix}-2x-6y=\frac{114}{11}\\4x=y+-3\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-15}{11})\}\)
10. \(\left\{\begin{matrix}4x+2y=\frac{25}{9}\\x=5y+\frac{-13}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{7}{18})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{99}{104}-2x\\x-y=\frac{-9}{104}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-3}{8})\}\)
12. \(\left\{\begin{matrix}2x+6y=\frac{-51}{76}\\-x+3y=\frac{291}{152}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{5}{19})\}\)