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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{153}{22}-2x\\-x+5y=\frac{171}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+y=\frac{-19}{7}\\-2x-2y=\frac{10}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+5y=\frac{-21}{2}\\-2x-6y=11\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{42}{11}+x\\4x-3y=\frac{-25}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+3y=\frac{87}{2}\\5x=y+31\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+3y=\frac{33}{20}\\-x+y=\frac{-61}{80}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-41}{10}\\6x+y=\frac{-7}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{-51}{20}\\x=-3y+\frac{-37}{60}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{46}{3}-2x\\x-2y=9\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-5y=\frac{-607}{70}\\6x=-y+\frac{-461}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{213}{13}+5x\\-x+6y=\frac{93}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-4y=\frac{-23}{3}\\-3x=y+\frac{157}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{153}{22}-2x\\-x+5y=\frac{171}{22}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}-6x+y=\frac{-19}{7}\\-2x-2y=\frac{10}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},-1)\}\)
3. \(\left\{\begin{matrix}-x+5y=\frac{-21}{2}\\-2x-6y=11\end{matrix}\right.\qquad V=\{(\frac{1}{2},-2)\}\)
4. \(\left\{\begin{matrix}4y=\frac{42}{11}+x\\4x-3y=\frac{-25}{11}\end{matrix}\right.\qquad V=\{(\frac{2}{11},1)\}\)
5. \(\left\{\begin{matrix}6x+3y=\frac{87}{2}\\5x=y+31\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{3}{2})\}\)
6. \(\left\{\begin{matrix}4x+3y=\frac{33}{20}\\-x+y=\frac{-61}{80}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{-1}{5})\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-41}{10}\\6x+y=\frac{-7}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{20},-1)\}\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{-51}{20}\\x=-3y+\frac{-37}{60}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{46}{3}-2x\\x-2y=9\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{-4}{3})\}\)
10. \(\left\{\begin{matrix}2x-5y=\frac{-607}{70}\\6x=-y+\frac{-461}{70}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{17}{14})\}\)
11. \(\left\{\begin{matrix}2y=\frac{213}{13}+5x\\-x+6y=\frac{93}{13}\end{matrix}\right.\qquad V=\{(-3,\frac{9}{13})\}\)
12. \(\left\{\begin{matrix}3x-4y=\frac{-23}{3}\\-3x=y+\frac{157}{12}\end{matrix}\right.\qquad V=\{(-4,\frac{-13}{12})\}\)