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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+y=\frac{81}{20}\\2x=-3y+\frac{-1}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-197}{304}\\x-6y=\frac{923}{152}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-27}{14}\\-6x=5y+\frac{-395}{42}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-6y=\frac{-114}{5}\\-6x=5y+\frac{-136}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+5y=\frac{559}{38}\\6x=y+\frac{73}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-6y=\frac{42}{5}\\-x-6y=\frac{-8}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-3y=\frac{1195}{238}\\x=-y+\frac{45}{238}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{187}{42}+4x\\-x-6y=\frac{-83}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-2y=\frac{35}{24}\\-x-6y=\frac{239}{72}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{21}{4}-3x\\x-4y=\frac{19}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-205}{22}+5x\\3x+4y=\frac{-61}{22}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{-235}{76}\\x+4y=\frac{287}{76}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+y=\frac{81}{20}\\2x=-3y+\frac{-1}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{11}{20})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-197}{304}\\x-6y=\frac{923}{152}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-19}{16})\}\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-27}{14}\\-6x=5y+\frac{-395}{42}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{1}{6})\}\)
4. \(\left\{\begin{matrix}x-6y=\frac{-114}{5}\\-6x=5y+\frac{-136}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},4)\}\)
5. \(\left\{\begin{matrix}3x+5y=\frac{559}{38}\\6x=y+\frac{73}{38}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{5}{2})\}\)
6. \(\left\{\begin{matrix}-3x-6y=\frac{42}{5}\\-x-6y=\frac{-8}{5}\end{matrix}\right.\qquad V=\{(-5,\frac{11}{10})\}\)
7. \(\left\{\begin{matrix}2x-3y=\frac{1195}{238}\\x=-y+\frac{45}{238}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{-13}{14})\}\)
8. \(\left\{\begin{matrix}2y=\frac{187}{42}+4x\\-x-6y=\frac{-83}{14}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{13}{12})\}\)
9. \(\left\{\begin{matrix}6x-2y=\frac{35}{24}\\-x-6y=\frac{239}{72}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{-9}{16})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{21}{4}-3x\\x-4y=\frac{19}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-1)\}\)
11. \(\left\{\begin{matrix}y=\frac{-205}{22}+5x\\3x+4y=\frac{-61}{22}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-20}{11})\}\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{-235}{76}\\x+4y=\frac{287}{76}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{12}{19})\}\)