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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+4y=\frac{184}{33}\\2x-6y=\frac{-320}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+3y=\frac{-129}{26}\\-5x-y=\frac{-153}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-505}{22}-5x\\x+3y=\frac{491}{44}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-624}{17}-4x\\5x+6y=\frac{-693}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+2y=\frac{1}{2}\\-x=-2y+\frac{-13}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-6y=\frac{-109}{5}\\-x=-y+\frac{151}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-181}{110}+6x\\3x+y=\frac{181}{220}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-3y=\frac{78}{119}\\-5x=-4y+\frac{457}{119}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+y=\frac{8}{3}\\-5x-4y=\frac{-31}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{-21}{4}\\4x-y=\frac{1}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-104}{5}-6x\\x-2y=\frac{-107}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-4y=\frac{-201}{22}\\-x=y+\frac{-185}{88}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+4y=\frac{184}{33}\\2x-6y=\frac{-320}{33}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{8}{11})\}\)
2. \(\left\{\begin{matrix}-6x+3y=\frac{-129}{26}\\-5x-y=\frac{-153}{26}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-505}{22}-5x\\x+3y=\frac{491}{44}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{15}{4})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-624}{17}-4x\\5x+6y=\frac{-693}{17}\end{matrix}\right.\qquad V=\{(-9,\frac{12}{17})\}\)
5. \(\left\{\begin{matrix}5x+2y=\frac{1}{2}\\-x=-2y+\frac{-13}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-1}{2})\}\)
6. \(\left\{\begin{matrix}-6x-6y=\frac{-109}{5}\\-x=-y+\frac{151}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{13}{3})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-181}{110}+6x\\3x+y=\frac{181}{220}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-19}{11})\}\)
8. \(\left\{\begin{matrix}x-3y=\frac{78}{119}\\-5x=-4y+\frac{457}{119}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-11}{17})\}\)
9. \(\left\{\begin{matrix}4x+y=\frac{8}{3}\\-5x-4y=\frac{-31}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{-21}{4}\\4x-y=\frac{1}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-9}{8})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-104}{5}-6x\\x-2y=\frac{-107}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{11}{3})\}\)
12. \(\left\{\begin{matrix}-5x-4y=\frac{-201}{22}\\-x=y+\frac{-185}{88}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{11}{8})\}\)