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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{110}{3}+4x\\x-3y=\frac{-5}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{75}{7}-6x\\-x+6y=\frac{-121}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{-16}{13}\\x-3y=\frac{18}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-5y=\frac{-175}{12}\\-5x=y+\frac{23}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+6y=\frac{566}{39}\\6x=2y+\frac{486}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{33}{5}-6x\\-4x+y=\frac{-27}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-44}{21}-4x\\2x+y=\frac{-59}{63}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-263}{56}-2x\\-x+5y=\frac{-569}{112}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-6y=\frac{-129}{10}\\-2x+y=\frac{11}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+5y=\frac{155}{144}\\-3x=-6y+\frac{35}{48}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-88}{15}-4x\\-x-2y=\frac{31}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{388}{13}-4x\\-x+6y=\frac{-192}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{110}{3}+4x\\x-3y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{-5}{3})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{75}{7}-6x\\-x+6y=\frac{-121}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},-3)\}\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{-16}{13}\\x-3y=\frac{18}{13}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-4}{13})\}\)
4. \(\left\{\begin{matrix}4x-5y=\frac{-175}{12}\\-5x=y+\frac{23}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{9}{4})\}\)
5. \(\left\{\begin{matrix}x+6y=\frac{566}{39}\\6x=2y+\frac{486}{13}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{17}{13})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{33}{5}-6x\\-4x+y=\frac{-27}{5}\end{matrix}\right.\qquad V=\{(\frac{8}{5},1)\}\)
7. \(\left\{\begin{matrix}3y=\frac{-44}{21}-4x\\2x+y=\frac{-59}{63}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{-2}{9})\}\)
8. \(\left\{\begin{matrix}6y=\frac{-263}{56}-2x\\-x+5y=\frac{-569}{112}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-13}{14})\}\)
9. \(\left\{\begin{matrix}-4x-6y=\frac{-129}{10}\\-2x+y=\frac{11}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{7}{4})\}\)
10. \(\left\{\begin{matrix}-x+5y=\frac{155}{144}\\-3x=-6y+\frac{35}{48}\end{matrix}\right.\qquad V=\{(\frac{5}{16},\frac{5}{18})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-88}{15}-4x\\-x-2y=\frac{31}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-6}{5})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{388}{13}-4x\\-x+6y=\frac{-192}{13}\end{matrix}\right.\qquad V=\{(6,\frac{-19}{13})\}\)