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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+2y=\frac{11}{5}\\-x+3y=\frac{149}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{73}{21}\\-6x+y=\frac{-47}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{635}{126}+5x\\-5x+y=\frac{-485}{126}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{-28}{5}\\-3x-y=\frac{-31}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{1363}{221}+x\\-5x+2y=\frac{-101}{221}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{8}{13}+6x\\-2x+2y=\frac{124}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{117}{7}+2x\\5x-4y=\frac{-169}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-73}{4}+6x\\-x+y=\frac{-3}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{211}{85}+5x\\x+5y=\frac{31}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{640}{221}\\-x-6y=\frac{492}{221}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{57}{7}\\x=4y+\frac{66}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{64}{9}-x\\-5x+3y=\frac{-95}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+2y=\frac{11}{5}\\-x+3y=\frac{149}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{8}{5})\}\)
2. \(\left\{\begin{matrix}-2x-3y=\frac{73}{21}\\-6x+y=\frac{-47}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-12}{7})\}\)
3. \(\left\{\begin{matrix}5y=\frac{635}{126}+5x\\-5x+y=\frac{-485}{126}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{20}{9})\}\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{-28}{5}\\-3x-y=\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{11}{10})\}\)
5. \(\left\{\begin{matrix}6y=\frac{1363}{221}+x\\-5x+2y=\frac{-101}{221}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{19}{17})\}\)
6. \(\left\{\begin{matrix}-y=\frac{8}{13}+6x\\-2x+2y=\frac{124}{13}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},4)\}\)
7. \(\left\{\begin{matrix}-y=\frac{117}{7}+2x\\5x-4y=\frac{-169}{7}\end{matrix}\right.\qquad V=\{(-7,\frac{-19}{7})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-73}{4}+6x\\-x+y=\frac{-3}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{8},2)\}\)
9. \(\left\{\begin{matrix}4y=\frac{211}{85}+5x\\x+5y=\frac{31}{17}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{2}{5})\}\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{640}{221}\\-x-6y=\frac{492}{221}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-5}{17})\}\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{57}{7}\\x=4y+\frac{66}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-9}{4})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{64}{9}-x\\-5x+3y=\frac{-95}{3}\end{matrix}\right.\qquad V=\{(6,\frac{-5}{9})\}\)