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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=20-4x\\2x+y=\frac{-13}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-254}{3}+5x\\-2x-6y=-36\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-77}{6}\\-x-y=\frac{-103}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-739}{204}\\-x-3y=\frac{-131}{68}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-y=\frac{121}{15}\\-4x-3y=\frac{156}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+5y=\frac{-4}{5}\\-5x-y=\frac{-16}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-323}{90}+5x\\-4x-y=\frac{211}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{22}{5}+x\\6x-4y=\frac{-122}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{100}{19}-5x\\-x-6y=\frac{189}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+y=\frac{7}{8}\\3x=-3y+\frac{21}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=7+3x\\x+y=0\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-1096}{85}\\x=4y+\frac{1043}{170}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=20-4x\\2x+y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-18}{5})\}\)
2. \(\left\{\begin{matrix}y=\frac{-254}{3}+5x\\-2x-6y=-36\end{matrix}\right.\qquad V=\{(17,\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-77}{6}\\-x-y=\frac{-103}{12}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{13}{12})\}\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-739}{204}\\-x-3y=\frac{-131}{68}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{7}{12})\}\)
5. \(\left\{\begin{matrix}-x-y=\frac{121}{15}\\-4x-3y=\frac{156}{5}\end{matrix}\right.\qquad V=\{(-7,\frac{-16}{15})\}\)
6. \(\left\{\begin{matrix}4x+5y=\frac{-4}{5}\\-5x-y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-323}{90}+5x\\-4x-y=\frac{211}{45}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{-9}{5})\}\)
8. \(\left\{\begin{matrix}y=\frac{22}{5}+x\\6x-4y=\frac{-122}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},1)\}\)
9. \(\left\{\begin{matrix}-3y=\frac{100}{19}-5x\\-x-6y=\frac{189}{19}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{-5}{3})\}\)
10. \(\left\{\begin{matrix}x+y=\frac{7}{8}\\3x=-3y+\frac{21}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{1}{8})\}\)
11. \(\left\{\begin{matrix}4y=7+3x\\x+y=0\end{matrix}\right.\qquad V=\{(-1,1)\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-1096}{85}\\x=4y+\frac{1043}{170}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{-18}{17})\}\)