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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{624}{17}+5x\\-x+y=\frac{83}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+4y=\frac{-164}{39}\\6x=-y+\frac{-96}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-5y=\frac{85}{9}\\-x=y+\frac{8}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{106}{45}\\2x=y+\frac{-52}{45}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-20}{3}\\x=-4y+\frac{28}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-148}{33}-2x\\2x-y=\frac{-16}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-151}{26}-5x\\x+y=\frac{49}{26}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{67}{3}+3x\\x-4y=\frac{-109}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+4y=\frac{-67}{26}\\-x=2y+\frac{-151}{130}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{253}{140}-2x\\-x-3y=\frac{-347}{140}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{-63}{4}\\-4x=y+\frac{15}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{3}{2}-5x\\-x-y=-1\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{624}{17}+5x\\-x+y=\frac{83}{17}\end{matrix}\right.\qquad V=\{(-6,\frac{-19}{17})\}\)
2. \(\left\{\begin{matrix}5x+4y=\frac{-164}{39}\\6x=-y+\frac{-96}{13}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{8}{13})\}\)
3. \(\left\{\begin{matrix}2x-5y=\frac{85}{9}\\-x=y+\frac{8}{45}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{-7}{5})\}\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{106}{45}\\2x=y+\frac{-52}{45}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-2}{5})\}\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-20}{3}\\x=-4y+\frac{28}{15}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{1}{15})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-148}{33}-2x\\2x-y=\frac{-16}{33}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-151}{26}-5x\\x+y=\frac{49}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{18}{13})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{67}{3}+3x\\x-4y=\frac{-109}{9}\end{matrix}\right.\qquad V=\{(-9,\frac{7}{9})\}\)
9. \(\left\{\begin{matrix}-5x+4y=\frac{-67}{26}\\-x=2y+\frac{-151}{130}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{3}{13})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{253}{140}-2x\\-x-3y=\frac{-347}{140}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{7}{20})\}\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{-63}{4}\\-4x=y+\frac{15}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-11}{4})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{3}{2}-5x\\-x-y=-1\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{1}{2})\}\)