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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-326}{119}-3x\\5x+y=\frac{-282}{119}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{5}{6}-5x\\-2x+2y=\frac{35}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+3y=\frac{-205}{187}\\-4x-5y=\frac{897}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{68}{5}+2x\\-5x+4y=-70\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-13}{4}\\5x-y=\frac{-145}{36}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{-1}{2}\\x-y=\frac{1}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-4y=\frac{-41}{7}\\4x=y+\frac{23}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{29}{3}+3x\\3x+y=\frac{-137}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-2y=\frac{309}{40}\\2x-y=\frac{101}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{1}{9}+4x\\5x+y=\frac{-61}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+4y=\frac{-681}{22}\\3x+y=\frac{-591}{22}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-6y=\frac{-27}{40}\\-x+y=\frac{-23}{40}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-326}{119}-3x\\5x+y=\frac{-282}{119}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-16}{17})\}\)
2. \(\left\{\begin{matrix}y=\frac{5}{6}-5x\\-2x+2y=\frac{35}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},5)\}\)
3. \(\left\{\begin{matrix}x+3y=\frac{-205}{187}\\-4x-5y=\frac{897}{187}\end{matrix}\right.\qquad V=\{(\frac{-14}{11},\frac{1}{17})\}\)
4. \(\left\{\begin{matrix}-y=\frac{68}{5}+2x\\-5x+4y=-70\end{matrix}\right.\qquad V=\{(\frac{6}{5},-16)\}\)
5. \(\left\{\begin{matrix}6x-5y=\frac{-13}{4}\\5x-y=\frac{-145}{36}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-5}{12})\}\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{-1}{2}\\x-y=\frac{1}{10}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{1}{6})\}\)
7. \(\left\{\begin{matrix}-3x-4y=\frac{-41}{7}\\4x=y+\frac{23}{7}\end{matrix}\right.\qquad V=\{(1,\frac{5}{7})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{29}{3}+3x\\3x+y=\frac{-137}{15}\end{matrix}\right.\qquad V=\{(-3,\frac{-2}{15})\}\)
9. \(\left\{\begin{matrix}3x-2y=\frac{309}{40}\\2x-y=\frac{101}{20}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-3}{10})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{1}{9}+4x\\5x+y=\frac{-61}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}3x+4y=\frac{-681}{22}\\3x+y=\frac{-591}{22}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{-15}{11})\}\)
12. \(\left\{\begin{matrix}3x-6y=\frac{-27}{40}\\-x+y=\frac{-23}{40}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{4}{5})\}\)