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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-4y=\frac{-10}{7}\\3x=-y+\frac{33}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+y=\frac{-145}{3}\\-4x-2y=\frac{194}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-y=\frac{-1013}{17}\\-6x=2y+\frac{2054}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-260}{33}+2x\\5x+y=\frac{166}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{26}{17}+5x\\x+4y=\frac{43}{85}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-3y=\frac{62}{3}\\x+3y=\frac{-58}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{117}{112}+3x\\-3x-y=\frac{215}{112}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{25}{3}+5x\\-3x-3y=1\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{-249}{35}\\-x=-y+\frac{-96}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-57}{4}\\-x=2y+\frac{-23}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-148}{15}-2x\\3x-6y=\frac{-71}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{483}{85}-x\\-2x+6y=\frac{-558}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-4y=\frac{-10}{7}\\3x=-y+\frac{33}{14}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{14})\}\)
2. \(\left\{\begin{matrix}3x+y=\frac{-145}{3}\\-4x-2y=\frac{194}{3}\end{matrix}\right.\qquad V=\{(-16,\frac{-1}{3})\}\)
3. \(\left\{\begin{matrix}3x-y=\frac{-1013}{17}\\-6x=2y+\frac{2054}{17}\end{matrix}\right.\qquad V=\{(-20,\frac{-7}{17})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-260}{33}+2x\\5x+y=\frac{166}{33}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{-4}{3})\}\)
5. \(\left\{\begin{matrix}3y=\frac{26}{17}+5x\\x+4y=\frac{43}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{3}{17})\}\)
6. \(\left\{\begin{matrix}-2x-3y=\frac{62}{3}\\x+3y=\frac{-58}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-6)\}\)
7. \(\left\{\begin{matrix}-3y=\frac{117}{112}+3x\\-3x-y=\frac{215}{112}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{7}{16})\}\)
8. \(\left\{\begin{matrix}-y=\frac{25}{3}+5x\\-3x-3y=1\end{matrix}\right.\qquad V=\{(-2,\frac{5}{3})\}\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{-249}{35}\\-x=-y+\frac{-96}{35}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-57}{4}\\-x=2y+\frac{-23}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-148}{15}-2x\\3x-6y=\frac{-71}{5}\end{matrix}\right.\qquad V=\{(-5,\frac{-2}{15})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{483}{85}-x\\-2x+6y=\frac{-558}{85}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{-4}{5})\}\)