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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+4y=\frac{348}{17}\\-x+y=\frac{89}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-4y=\frac{-18}{13}\\4x=6y+\frac{1}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+5y=\frac{47}{18}\\x=4y+\frac{14}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=\frac{113}{22}\\-6x+6y=\frac{-87}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-2y=-14\\x=4y+-10\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+5y=\frac{35}{18}\\5x=-y+\frac{-145}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{45}{11}-x\\3x-4y=\frac{14}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{204}{7}-6x\\x-y=\frac{37}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{-115}{19}\\2x+2y=\frac{-310}{57}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-1134}{11}+6x\\-x+5y=\frac{-217}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{846}{65}+3x\\6x+y=\frac{-1142}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{441}{130}-6x\\-3x-y=\frac{-201}{260}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+4y=\frac{348}{17}\\-x+y=\frac{89}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},5)\}\)
2. \(\left\{\begin{matrix}-x-4y=\frac{-18}{13}\\4x=6y+\frac{1}{26}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{1}{4})\}\)
3. \(\left\{\begin{matrix}-5x+5y=\frac{47}{18}\\x=4y+\frac{14}{45}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-5}{18})\}\)
4. \(\left\{\begin{matrix}-x-5y=\frac{113}{22}\\-6x+6y=\frac{-87}{55}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-9}{10})\}\)
5. \(\left\{\begin{matrix}2x-2y=-14\\x=4y+-10\end{matrix}\right.\qquad V=\{(-6,1)\}\)
6. \(\left\{\begin{matrix}5x+5y=\frac{35}{18}\\5x=-y+\frac{-145}{18}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{5}{2})\}\)
7. \(\left\{\begin{matrix}6y=\frac{45}{11}-x\\3x-4y=\frac{14}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}3y=\frac{204}{7}-6x\\x-y=\frac{37}{7}\end{matrix}\right.\qquad V=\{(5,\frac{-2}{7})\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{-115}{19}\\2x+2y=\frac{-310}{57}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-5}{3})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-1134}{11}+6x\\-x+5y=\frac{-217}{11}\end{matrix}\right.\qquad V=\{(17,\frac{-6}{11})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{846}{65}+3x\\6x+y=\frac{-1142}{65}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-10}{13})\}\)
12. \(\left\{\begin{matrix}4y=\frac{441}{130}-6x\\-3x-y=\frac{-201}{260}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{12}{13})\}\)