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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+2y=\frac{-26}{9}\\4x+4y=\frac{-70}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-181}{30}\\-x+2y=\frac{-83}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{221}{45}+4x\\-x+y=\frac{211}{180}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{49}{20}+2x\\2x-y=\frac{-29}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-681}{85}\\-4x=-y+\frac{44}{85}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-4y=\frac{-127}{6}\\4x-4y=\frac{64}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{-139}{22}\\x=-5y+\frac{151}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+y=\frac{11}{9}\\5x=5y+\frac{-115}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=-37+6x\\x+2y=\frac{-1}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{-285}{11}\\x=6y+\frac{277}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-y=\frac{2}{7}\\4x-3y=\frac{13}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{1903}{152}-5x\\-x-y=\frac{-419}{152}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+2y=\frac{-26}{9}\\4x+4y=\frac{-70}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-17}{18})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-181}{30}\\-x+2y=\frac{-83}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-17}{15})\}\)
3. \(\left\{\begin{matrix}5y=\frac{221}{45}+4x\\-x+y=\frac{211}{180}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{2}{9})\}\)
4. \(\left\{\begin{matrix}5y=\frac{49}{20}+2x\\2x-y=\frac{-29}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{1}{4})\}\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-681}{85}\\-4x=-y+\frac{44}{85}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-8}{5})\}\)
6. \(\left\{\begin{matrix}-x-4y=\frac{-127}{6}\\4x-4y=\frac{64}{3}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{19}{6})\}\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{-139}{22}\\x=-5y+\frac{151}{22}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{14}{11})\}\)
8. \(\left\{\begin{matrix}x+y=\frac{11}{9}\\5x=5y+\frac{-115}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{17}{9})\}\)
9. \(\left\{\begin{matrix}6y=-37+6x\\x+2y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(4,\frac{-13}{6})\}\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{-285}{11}\\x=6y+\frac{277}{11}\end{matrix}\right.\qquad V=\{(\frac{13}{11},-4)\}\)
11. \(\left\{\begin{matrix}2x-y=\frac{2}{7}\\4x-3y=\frac{13}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-9}{7})\}\)
12. \(\left\{\begin{matrix}3y=\frac{1903}{152}-5x\\-x-y=\frac{-419}{152}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{12}{19})\}\)