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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{136}{3}-2x\\x-6y=\frac{-269}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{9}{26}+6x\\x-y=\frac{189}{104}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-5y=\frac{-212}{19}\\-6x-y=\frac{-727}{38}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-10}{3}\\-5x-6y=\frac{155}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+2y=\frac{426}{13}\\4x+y=\frac{-411}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-13}{8}\\-5x=4y+\frac{-57}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-2y=\frac{122}{21}\\3x+y=\frac{38}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-y=\frac{-244}{57}\\-6x-2y=\frac{-112}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-6y=\frac{28}{3}\\x-y=\frac{4}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-6y=\frac{822}{65}\\-4x=-y+\frac{-397}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+2y=\frac{-86}{9}\\6x+4y=\frac{-44}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-1}{2}-4x\\2x+3y=\frac{31}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{136}{3}-2x\\x-6y=\frac{-269}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{15}{2})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{9}{26}+6x\\x-y=\frac{189}{104}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-9}{8})\}\)
3. \(\left\{\begin{matrix}-4x-5y=\frac{-212}{19}\\-6x-y=\frac{-727}{38}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{-7}{19})\}\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-10}{3}\\-5x-6y=\frac{155}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{-5}{3})\}\)
5. \(\left\{\begin{matrix}-4x+2y=\frac{426}{13}\\4x+y=\frac{-411}{13}\end{matrix}\right.\qquad V=\{(-8,\frac{5}{13})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-13}{8}\\-5x=4y+\frac{-57}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{8},1)\}\)
7. \(\left\{\begin{matrix}4x-2y=\frac{122}{21}\\3x+y=\frac{38}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{3}{7})\}\)
8. \(\left\{\begin{matrix}-4x-y=\frac{-244}{57}\\-6x-2y=\frac{-112}{19}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-20}{19})\}\)
9. \(\left\{\begin{matrix}-2x-6y=\frac{28}{3}\\x-y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}4x-6y=\frac{822}{65}\\-4x=-y+\frac{-397}{65}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-17}{13})\}\)
11. \(\left\{\begin{matrix}-x+2y=\frac{-86}{9}\\6x+4y=\frac{-44}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-9}{2})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-1}{2}-4x\\2x+3y=\frac{31}{2}\end{matrix}\right.\qquad V=\{(1,\frac{9}{2})\}\)