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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{46}{33}-3x\\3x-6y=\frac{107}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-271}{80}-2x\\-4x+4y=\frac{143}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{1250}{209}-5x\\x+4y=\frac{934}{209}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-6y=\frac{321}{76}\\2x=y+\frac{-157}{152}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-69}{40}-3x\\x+4y=\frac{71}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-276}{221}\\-4x=-y+\frac{1059}{221}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+5y=\frac{-445}{12}\\-x=6y+\frac{37}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-3y=\frac{-27}{7}\\-x=-6y+\frac{81}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-5y=\frac{59}{24}\\-x=-5y+\frac{19}{24}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{-623}{60}\\6x+y=\frac{463}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+2y=-34\\x=2y+4\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-89}{40}-x\\-2x-2y=\frac{-81}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{46}{33}-3x\\3x-6y=\frac{107}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{-5}{3})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-271}{80}-2x\\-4x+4y=\frac{143}{20}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{3}{16})\}\)
3. \(\left\{\begin{matrix}5y=\frac{1250}{209}-5x\\x+4y=\frac{934}{209}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{12}{11})\}\)
4. \(\left\{\begin{matrix}-6x-6y=\frac{321}{76}\\2x=y+\frac{-157}{152}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{-1}{8})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-69}{40}-3x\\x+4y=\frac{71}{20}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{11}{16})\}\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-276}{221}\\-4x=-y+\frac{1059}{221}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{3}{17})\}\)
7. \(\left\{\begin{matrix}3x+5y=\frac{-445}{12}\\-x=6y+\frac{37}{2}\end{matrix}\right.\qquad V=\{(-10,\frac{-17}{12})\}\)
8. \(\left\{\begin{matrix}5x-3y=\frac{-27}{7}\\-x=-6y+\frac{81}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},2)\}\)
9. \(\left\{\begin{matrix}4x-5y=\frac{59}{24}\\-x=-5y+\frac{19}{24}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{3}{8})\}\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{-623}{60}\\6x+y=\frac{463}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{-16}{15})\}\)
11. \(\left\{\begin{matrix}2x+2y=-34\\x=2y+4\end{matrix}\right.\qquad V=\{(-10,-7)\}\)
12. \(\left\{\begin{matrix}-y=\frac{-89}{40}-x\\-2x-2y=\frac{-81}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{17}{8})\}\)