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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-5}{7}+x\\4x+3y=\frac{117}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+6y=\frac{215}{11}\\-2x=3y+\frac{-133}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{11}{24}-x\\-4x+4y=\frac{79}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-59}{20}-4x\\-5x+2y=\frac{7}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{161}{4}-5x\\6x-y=-1\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{191}{17}+3x\\x+4y=\frac{-21}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-243}{20}+3x\\x-3y=\frac{91}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-4y=\frac{-47}{45}\\-5x+3y=\frac{-8}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-2y=\frac{-364}{85}\\6x+y=\frac{582}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+3y=\frac{-1121}{60}\\-x=-6y+\frac{-133}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+3y=\frac{19}{21}\\x+4y=\frac{292}{63}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-4y=-7\\-x+y=\frac{1}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-5}{7}+x\\4x+3y=\frac{117}{14}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}x+6y=\frac{215}{11}\\-2x=3y+\frac{-133}{11}\end{matrix}\right.\qquad V=\{(\frac{17}{11},3)\}\)
3. \(\left\{\begin{matrix}-3y=\frac{11}{24}-x\\-4x+4y=\frac{79}{18}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{-7}{9})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-59}{20}-4x\\-5x+2y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}4y=\frac{161}{4}-5x\\6x-y=-1\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{17}{2})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{191}{17}+3x\\x+4y=\frac{-21}{17}\end{matrix}\right.\qquad V=\{(-5,\frac{16}{17})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-243}{20}+3x\\x-3y=\frac{91}{20}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-1}{4})\}\)
8. \(\left\{\begin{matrix}-x-4y=\frac{-47}{45}\\-5x+3y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{9})\}\)
9. \(\left\{\begin{matrix}-2x-2y=\frac{-364}{85}\\6x+y=\frac{582}{85}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{6}{5})\}\)
10. \(\left\{\begin{matrix}-5x+3y=\frac{-1121}{60}\\-x=-6y+\frac{-133}{15}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{-19}{20})\}\)
11. \(\left\{\begin{matrix}3x+3y=\frac{19}{21}\\x+4y=\frac{292}{63}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{13}{9})\}\)
12. \(\left\{\begin{matrix}-6x-4y=-7\\-x+y=\frac{1}{12}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{3}{4})\}\)