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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-241}{143}+x\\-5x+5y=\frac{1875}{143}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{9}{19}-x\\-2x+3y=\frac{-8}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{185}{11}\\2x=y+\frac{-59}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-2y=\frac{-117}{2}\\x+y=\frac{37}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{741}{34}+2x\\x-y=\frac{279}{68}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{931}{208}+4x\\5x+5y=\frac{-2545}{208}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{301}{102}-2x\\5x-y=\frac{379}{306}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-38}{9}+6x\\-x+6y=\frac{-11}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+5y=\frac{66}{5}\\-x+6y=\frac{68}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-6y=\frac{9}{5}\\-x=2y+\frac{57}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=\frac{1}{9}\\2x=-2y+\frac{13}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-206}{39}+4x\\-x+3y=\frac{89}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-241}{143}+x\\-5x+5y=\frac{1875}{143}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{14}{13})\}\)
2. \(\left\{\begin{matrix}-y=\frac{9}{19}-x\\-2x+3y=\frac{-8}{19}\end{matrix}\right.\qquad V=\{(1,\frac{10}{19})\}\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{185}{11}\\2x=y+\frac{-59}{11}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{4}{11})\}\)
4. \(\left\{\begin{matrix}-6x-2y=\frac{-117}{2}\\x+y=\frac{37}{4}\end{matrix}\right.\qquad V=\{(10,\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{741}{34}+2x\\x-y=\frac{279}{68}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{-15}{4})\}\)
6. \(\left\{\begin{matrix}y=\frac{931}{208}+4x\\5x+5y=\frac{-2545}{208}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{-17}{16})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{301}{102}-2x\\5x-y=\frac{379}{306}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{-17}{18})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-38}{9}+6x\\-x+6y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{9})\}\)
9. \(\left\{\begin{matrix}-2x+5y=\frac{66}{5}\\-x+6y=\frac{68}{5}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},2)\}\)
10. \(\left\{\begin{matrix}6x-6y=\frac{9}{5}\\-x=2y+\frac{57}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},-2)\}\)
11. \(\left\{\begin{matrix}2x+y=\frac{1}{9}\\2x=-2y+\frac{13}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{4}{3})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-206}{39}+4x\\-x+3y=\frac{89}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{7}{3})\}\)