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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+3y=\frac{-1042}{209}\\x=4y+\frac{851}{209}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{92}{3}-4x\\2x+y=\frac{40}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{48}{7}+3x\\-2x-y=\frac{22}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+4y=\frac{-83}{22}\\6x+5y=\frac{-496}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=67-x\\4x-3y=-56\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{59}{7}\\3x=-y+\frac{-101}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-y=\frac{1699}{15}\\2x+2y=\frac{-548}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{96}{19}\\x+4y=\frac{72}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-66}{7}-4x\\-5x+y=\frac{93}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+6y=\frac{-173}{20}\\x+2y=\frac{-41}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-27}{14}+3x\\-x+5y=\frac{-267}{56}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-3y=\frac{-37}{10}\\4x-5y=\frac{-3}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+3y=\frac{-1042}{209}\\x=4y+\frac{851}{209}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-12}{19})\}\)
2. \(\left\{\begin{matrix}4y=\frac{92}{3}-4x\\2x+y=\frac{40}{3}\end{matrix}\right.\qquad V=\{(\frac{17}{3},2)\}\)
3. \(\left\{\begin{matrix}-4y=\frac{48}{7}+3x\\-2x-y=\frac{22}{7}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-6}{7})\}\)
4. \(\left\{\begin{matrix}x+4y=\frac{-83}{22}\\6x+5y=\frac{-496}{11}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{13}{11})\}\)
5. \(\left\{\begin{matrix}6y=67-x\\4x-3y=-56\end{matrix}\right.\qquad V=\{(-5,12)\}\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{59}{7}\\3x=-y+\frac{-101}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-19}{7})\}\)
7. \(\left\{\begin{matrix}-6x-y=\frac{1699}{15}\\2x+2y=\frac{-548}{15}\end{matrix}\right.\qquad V=\{(-19,\frac{11}{15})\}\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{96}{19}\\x+4y=\frac{72}{19}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},1)\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-66}{7}-4x\\-5x+y=\frac{93}{14}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{9}{7})\}\)
10. \(\left\{\begin{matrix}5x+6y=\frac{-173}{20}\\x+2y=\frac{-41}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-2}{5})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-27}{14}+3x\\-x+5y=\frac{-267}{56}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-9}{8})\}\)
12. \(\left\{\begin{matrix}x-3y=\frac{-37}{10}\\4x-5y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(2,\frac{19}{10})\}\)