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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-1635}{221}+5x\\-x+6y=\frac{-1679}{221}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+6y=\frac{-21}{2}\\x=5y+\frac{-31}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-79}{24}+6x\\x-y=\frac{115}{144}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-635}{68}+6x\\5x-y=\frac{677}{136}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{1041}{247}-3x\\4x+y=\frac{704}{247}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-82}{39}\\-x+y=\frac{50}{39}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-76}{5}\\x=3y+\frac{-32}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-11}{5}+5x\\3x+y=\frac{-13}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+4y=\frac{23}{6}\\-x-3y=\frac{29}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-3y=\frac{-313}{30}\\-3x+y=\frac{427}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{7}{13}\\x-y=\frac{5}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{28}{33}-2x\\x-5y=\frac{119}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-1635}{221}+5x\\-x+6y=\frac{-1679}{221}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{-20}{17})\}\)
2. \(\left\{\begin{matrix}6x+6y=\frac{-21}{2}\\x=5y+\frac{-31}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},1)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-79}{24}+6x\\x-y=\frac{115}{144}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-3}{16})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-635}{68}+6x\\5x-y=\frac{677}{136}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{11}{17})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{1041}{247}-3x\\4x+y=\frac{704}{247}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-4}{13})\}\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-82}{39}\\-x+y=\frac{50}{39}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{8}{13})\}\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-76}{5}\\x=3y+\frac{-32}{5}\end{matrix}\right.\qquad V=\{(-4,\frac{4}{5})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-11}{5}+5x\\3x+y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-7}{5})\}\)
9. \(\left\{\begin{matrix}-4x+4y=\frac{23}{6}\\-x-3y=\frac{29}{8}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}6x-3y=\frac{-313}{30}\\-3x+y=\frac{427}{90}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{17}{18})\}\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{7}{13}\\x-y=\frac{5}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{4}{13})\}\)
12. \(\left\{\begin{matrix}4y=\frac{28}{33}-2x\\x-5y=\frac{119}{33}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-5}{11})\}\)