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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+4y=\frac{162}{13}\\2x+y=\frac{60}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{87}{10}-x\\-5x-4y=\frac{29}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{449}{17}+5x\\6x+y=\frac{-504}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-6y=\frac{111}{20}\\x=-3y+\frac{-13}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{125}{2}+5x\\x-4y=5\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-5y=\frac{-845}{171}\\x+6y=\frac{296}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{-39}{22}\\x=3y+\frac{171}{44}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{255}{16}\\-3x+y=\frac{17}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{469}{36}+6x\\6x+y=\frac{-389}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=\frac{369}{152}\\-x-4y=\frac{-803}{152}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-3y=-5\\-5x=6y+-16\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+y=\frac{-2}{3}\\-5x=5y+\frac{-20}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+4y=\frac{162}{13}\\2x+y=\frac{60}{13}\end{matrix}\right.\qquad V=\{(3,\frac{-18}{13})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{87}{10}-x\\-5x-4y=\frac{29}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-17}{10})\}\)
3. \(\left\{\begin{matrix}4y=\frac{449}{17}+5x\\6x+y=\frac{-504}{17}\end{matrix}\right.\qquad V=\{(-5,\frac{6}{17})\}\)
4. \(\left\{\begin{matrix}-3x-6y=\frac{111}{20}\\x=-3y+\frac{-13}{20}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{6}{5})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{125}{2}+5x\\x-4y=5\end{matrix}\right.\qquad V=\{(-9,\frac{-7}{2})\}\)
6. \(\left\{\begin{matrix}-2x-5y=\frac{-845}{171}\\x+6y=\frac{296}{57}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{7}{9})\}\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{-39}{22}\\x=3y+\frac{171}{44}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{255}{16}\\-3x+y=\frac{17}{16}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-5}{2})\}\)
9. \(\left\{\begin{matrix}4y=\frac{469}{36}+6x\\6x+y=\frac{-389}{36}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{4}{9})\}\)
10. \(\left\{\begin{matrix}3x-5y=\frac{369}{152}\\-x-4y=\frac{-803}{152}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{15}{19})\}\)
11. \(\left\{\begin{matrix}-x-3y=-5\\-5x=6y+-16\end{matrix}\right.\qquad V=\{(2,1)\}\)
12. \(\left\{\begin{matrix}3x+y=\frac{-2}{3}\\-5x=5y+\frac{-20}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},1)\}\)