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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+2y=\frac{-23}{4}\\-x+y=\frac{-7}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-648}{221}-4x\\-4x+2y=\frac{752}{221}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{11}{2}+3x\\-4x+y=\frac{71}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-394}{119}+2x\\x-y=\frac{197}{119}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-298}{51}\\-x+y=\frac{-20}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-y=\frac{321}{130}\\3x+5y=\frac{147}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-83}{14}-2x\\x+5y=\frac{17}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+5y=\frac{-200}{63}\\5x=-y+\frac{-661}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=-28-4x\\-x+4y=20\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{54}{5}-4x\\-3x-y=\frac{-113}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-2y=9\\-x-6y=40\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-2y=\frac{-198}{7}\\-x=-y+\frac{87}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+2y=\frac{-23}{4}\\-x+y=\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-1)\}\)
2. \(\left\{\begin{matrix}-y=\frac{-648}{221}-4x\\-4x+2y=\frac{752}{221}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},\frac{8}{17})\}\)
3. \(\left\{\begin{matrix}3y=\frac{11}{2}+3x\\-4x+y=\frac{71}{6}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-3}{2})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-394}{119}+2x\\x-y=\frac{197}{119}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{1}{17})\}\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-298}{51}\\-x+y=\frac{-20}{51}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-18}{17})\}\)
6. \(\left\{\begin{matrix}2x-y=\frac{321}{130}\\3x+5y=\frac{147}{26}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{3}{10})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-83}{14}-2x\\x+5y=\frac{17}{14}\end{matrix}\right.\qquad V=\{(-2,\frac{9}{14})\}\)
8. \(\left\{\begin{matrix}2x+5y=\frac{-200}{63}\\5x=-y+\frac{-661}{63}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{2}{9})\}\)
9. \(\left\{\begin{matrix}-3y=-28-4x\\-x+4y=20\end{matrix}\right.\qquad V=\{(-4,4)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{54}{5}-4x\\-3x-y=\frac{-113}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{4}{5})\}\)
11. \(\left\{\begin{matrix}4x-2y=9\\-x-6y=40\end{matrix}\right.\qquad V=\{(-1,\frac{-13}{2})\}\)
12. \(\left\{\begin{matrix}-4x-2y=\frac{-198}{7}\\-x=-y+\frac{87}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},13)\}\)