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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-y=\frac{266}{153}\\-6x=-4y+\frac{-866}{153}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-y=\frac{7}{3}\\5x+6y=\frac{61}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-465}{323}-3x\\x-2y=\frac{-98}{323}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+2y=\frac{-61}{117}\\-6x=-y+\frac{-1178}{117}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+y=\frac{-39}{14}\\-6x=4y+\frac{-12}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+4y=\frac{-233}{44}\\2x=y+\frac{-103}{176}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+4y=\frac{41}{5}\\5x+2y=\frac{223}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+y=\frac{65}{57}\\-2x-4y=\frac{-440}{57}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+y=\frac{441}{136}\\4x-5y=\frac{-1053}{136}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{274}{33}+2x\\4x+y=\frac{244}{33}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{252}{11}+6x\\-x+y=\frac{108}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-6y=\frac{2}{3}\\-6x-5y=\frac{-113}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-y=\frac{266}{153}\\-6x=-4y+\frac{-866}{153}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{-4}{9})\}\)
2. \(\left\{\begin{matrix}4x-y=\frac{7}{3}\\5x+6y=\frac{61}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{6},1)\}\)
3. \(\left\{\begin{matrix}3y=\frac{-465}{323}-3x\\x-2y=\frac{-98}{323}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-1}{17})\}\)
4. \(\left\{\begin{matrix}3x+2y=\frac{-61}{117}\\-6x=-y+\frac{-1178}{117}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-20}{9})\}\)
5. \(\left\{\begin{matrix}6x+y=\frac{-39}{14}\\-6x=4y+\frac{-12}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{3}{2})\}\)
6. \(\left\{\begin{matrix}4x+4y=\frac{-233}{44}\\2x=y+\frac{-103}{176}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-11}{16})\}\)
7. \(\left\{\begin{matrix}x+4y=\frac{41}{5}\\5x+2y=\frac{223}{5}\end{matrix}\right.\qquad V=\{(9,\frac{-1}{5})\}\)
8. \(\left\{\begin{matrix}-x+y=\frac{65}{57}\\-2x-4y=\frac{-440}{57}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{5}{3})\}\)
9. \(\left\{\begin{matrix}-4x+y=\frac{441}{136}\\4x-5y=\frac{-1053}{136}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{9}{8})\}\)
10. \(\left\{\begin{matrix}4y=\frac{274}{33}+2x\\4x+y=\frac{244}{33}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{8}{3})\}\)
11. \(\left\{\begin{matrix}2y=\frac{252}{11}+6x\\-x+y=\frac{108}{11}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},9)\}\)
12. \(\left\{\begin{matrix}x-6y=\frac{2}{3}\\-6x-5y=\frac{-113}{18}\end{matrix}\right.\qquad V=\{(1,\frac{1}{18})\}\)