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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-13}{9}-x\\-6x+5y=\frac{-109}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+y=\frac{59}{20}\\-5x=5y+\frac{-7}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+y=\frac{-573}{133}\\-6x=3y+\frac{-276}{133}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+5y=\frac{-149}{18}\\2x-y=\frac{197}{90}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-2y=\frac{-79}{40}\\-5x+2y=\frac{-13}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{-508}{85}\\-6x-y=\frac{-354}{85}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{208}{33}\\-3x-y=\frac{46}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{1}{2}+x\\-3x-2y=\frac{59}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{25}{14}+4x\\-6x-4y=\frac{-277}{28}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-74}{9}\\-3x=-6y+\frac{17}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-531}{110}-3x\\-5x-y=\frac{97}{22}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-2y=\frac{13}{5}\\-x-y=\frac{7}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-13}{9}-x\\-6x+5y=\frac{-109}{9}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{9})\}\)
2. \(\left\{\begin{matrix}-3x+y=\frac{59}{20}\\-5x=5y+\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},1)\}\)
3. \(\left\{\begin{matrix}-5x+y=\frac{-573}{133}\\-6x=3y+\frac{-276}{133}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-14}{19})\}\)
4. \(\left\{\begin{matrix}-4x+5y=\frac{-149}{18}\\2x-y=\frac{197}{90}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-13}{10})\}\)
5. \(\left\{\begin{matrix}-x-2y=\frac{-79}{40}\\-5x+2y=\frac{-13}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{11}{16})\}\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{-508}{85}\\-6x-y=\frac{-354}{85}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{12}{5})\}\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{208}{33}\\-3x-y=\frac{46}{33}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{1}{2}+x\\-3x-2y=\frac{59}{2}\end{matrix}\right.\qquad V=\{(-11,\frac{7}{4})\}\)
9. \(\left\{\begin{matrix}y=\frac{25}{14}+4x\\-6x-4y=\frac{-277}{28}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{16}{7})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-74}{9}\\-3x=-6y+\frac{17}{3}\end{matrix}\right.\qquad V=\{(1,\frac{13}{9})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-531}{110}-3x\\-5x-y=\frac{97}{22}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-10}{11})\}\)
12. \(\left\{\begin{matrix}6x-2y=\frac{13}{5}\\-x-y=\frac{7}{30}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{-1}{2})\}\)