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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+y=\frac{127}{20}\\-4x-4y=\frac{13}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-y=\frac{4}{3}\\5x=-2y+\frac{-11}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+2y=\frac{364}{9}\\-2x-4y=\frac{-728}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+6y=\frac{368}{39}\\3x=2y+\frac{248}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{63}{13}-5x\\-2x-2y=\frac{-22}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+y=\frac{-37}{40}\\4x=-2y+\frac{133}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{22}{221}+3x\\-x-6y=\frac{-786}{221}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{-50}{7}\\2x=-3y+\frac{205}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{267}{76}+4x\\-x+6y=\frac{-159}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-6y=\frac{1013}{12}\\-6x=5y+\frac{135}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-4y=\frac{-239}{3}\\-x-6y=-9\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-5y=\frac{-190}{13}\\-x-y=\frac{-41}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+y=\frac{127}{20}\\-4x-4y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{3}{4})\}\)
2. \(\left\{\begin{matrix}-x-y=\frac{4}{3}\\5x=-2y+\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-1)\}\)
3. \(\left\{\begin{matrix}x+2y=\frac{364}{9}\\-2x-4y=\frac{-728}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{9},20)\}\)
4. \(\left\{\begin{matrix}x+6y=\frac{368}{39}\\3x=2y+\frac{248}{13}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{6}{13})\}\)
5. \(\left\{\begin{matrix}y=\frac{63}{13}-5x\\-2x-2y=\frac{-22}{13}\end{matrix}\right.\qquad V=\{(1,\frac{-2}{13})\}\)
6. \(\left\{\begin{matrix}-2x+y=\frac{-37}{40}\\4x=-2y+\frac{133}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{6}{5})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{22}{221}+3x\\-x-6y=\frac{-786}{221}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{10}{13})\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{-50}{7}\\2x=-3y+\frac{205}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{15}{7})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{267}{76}+4x\\-x+6y=\frac{-159}{38}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{-3}{4})\}\)
10. \(\left\{\begin{matrix}x-6y=\frac{1013}{12}\\-6x=5y+\frac{135}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{12},-14)\}\)
11. \(\left\{\begin{matrix}5x-4y=\frac{-239}{3}\\-x-6y=-9\end{matrix}\right.\qquad V=\{(-13,\frac{11}{3})\}\)
12. \(\left\{\begin{matrix}-4x-5y=\frac{-190}{13}\\-x-y=\frac{-41}{13}\end{matrix}\right.\qquad V=\{(\frac{15}{13},2)\}\)