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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-y=\frac{-151}{7}\\-2x+3y=\frac{-37}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-264}{35}-3x\\-x-4y=\frac{221}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-2y=\frac{-87}{13}\\x=4y+\frac{-199}{78}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+3y=18\\-x=2y+9\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-y=\frac{-521}{152}\\-6x-2y=\frac{-521}{76}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-5y=\frac{-369}{104}\\-2x=-y+\frac{-291}{104}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+2y=\frac{469}{45}\\-5x-y=\frac{-155}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{-858}{17}\\-6x-y=\frac{-933}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-103}{16}\\-5x=4y+\frac{-151}{16}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-5y=\frac{1148}{209}\\4x=-y+\frac{206}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+y=\frac{8}{7}\\2x=2y+\frac{-32}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-21}{5}-2x\\x-5y=\frac{196}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-y=\frac{-151}{7}\\-2x+3y=\frac{-37}{7}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{4}{7})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-264}{35}-3x\\-x-4y=\frac{221}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-19}{10})\}\)
3. \(\left\{\begin{matrix}-6x-2y=\frac{-87}{13}\\x=4y+\frac{-199}{78}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{11}{13})\}\)
4. \(\left\{\begin{matrix}-3x+3y=18\\-x=2y+9\end{matrix}\right.\qquad V=\{(-7,-1)\}\)
5. \(\left\{\begin{matrix}-3x-y=\frac{-521}{152}\\-6x-2y=\frac{-521}{76}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{1}{19})\}\)
6. \(\left\{\begin{matrix}-2x-5y=\frac{-369}{104}\\-2x=-y+\frac{-291}{104}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{1}{8})\}\)
7. \(\left\{\begin{matrix}6x+2y=\frac{469}{45}\\-5x-y=\frac{-155}{18}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{-858}{17}\\-6x-y=\frac{-933}{17}\end{matrix}\right.\qquad V=\{(9,\frac{15}{17})\}\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-103}{16}\\-5x=4y+\frac{-151}{16}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{7}{8})\}\)
10. \(\left\{\begin{matrix}2x-5y=\frac{1148}{209}\\4x=-y+\frac{206}{209}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-10}{11})\}\)
11. \(\left\{\begin{matrix}-3x+y=\frac{8}{7}\\2x=2y+\frac{-32}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{20}{7})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-21}{5}-2x\\x-5y=\frac{196}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-7}{3})\}\)