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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+y=\frac{-23}{4}\\-6x-5y=\frac{-9}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+y=\frac{-26}{17}\\-6x=-3y+\frac{-18}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+4y=\frac{11}{5}\\-x=-5y+\frac{59}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+2y=\frac{367}{35}\\-x=-y+\frac{86}{35}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+y=\frac{69}{10}\\2x+5y=\frac{-7}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-3y=\frac{-194}{57}\\4x=-4y+\frac{-248}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{7}{4}\\4x=-y+\frac{17}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+4y=\frac{-186}{77}\\-4x-y=\frac{709}{154}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+2y=\frac{31}{14}\\-5x=-y+\frac{1}{28}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{10}{39}-4x\\5x-y=\frac{-379}{39}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+2y=\frac{-8}{3}\\-x=-6y+-28\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-716}{65}+5x\\4x+y=\frac{136}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+y=\frac{-23}{4}\\-6x-5y=\frac{-9}{4}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{4})\}\)
2. \(\left\{\begin{matrix}-3x+y=\frac{-26}{17}\\-6x=-3y+\frac{-18}{17}\end{matrix}\right.\qquad V=\{(\frac{20}{17},2)\}\)
3. \(\left\{\begin{matrix}2x+4y=\frac{11}{5}\\-x=-5y+\frac{59}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},1)\}\)
4. \(\left\{\begin{matrix}-5x+2y=\frac{367}{35}\\-x=-y+\frac{86}{35}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{3}{5})\}\)
5. \(\left\{\begin{matrix}-4x+y=\frac{69}{10}\\2x+5y=\frac{-7}{10}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}x-3y=\frac{-194}{57}\\4x=-4y+\frac{-248}{57}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{11}{19})\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{7}{4}\\4x=-y+\frac{17}{20}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}5x+4y=\frac{-186}{77}\\-4x-y=\frac{709}{154}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{17}{14})\}\)
9. \(\left\{\begin{matrix}5x+2y=\frac{31}{14}\\-5x=-y+\frac{1}{28}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}5y=\frac{10}{39}-4x\\5x-y=\frac{-379}{39}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{18}{13})\}\)
11. \(\left\{\begin{matrix}3x+2y=\frac{-8}{3}\\-x=-6y+-28\end{matrix}\right.\qquad V=\{(2,\frac{-13}{3})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-716}{65}+5x\\4x+y=\frac{136}{65}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{-8}{5})\}\)