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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-3y=\frac{123}{7}\\6x-y=\frac{48}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+6y=\frac{-3}{4}\\-x-y=\frac{-11}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-227}{24}-6x\\-5x-y=\frac{967}{144}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+5y=\frac{71}{15}\\x-y=\frac{53}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-6y=\frac{-48}{5}\\-x+3y=4\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+5y=\frac{-1117}{180}\\5x=-3y+\frac{-1}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{344}{35}-2x\\-x-y=\frac{-72}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+y=\frac{-1357}{42}\\3x=3y+\frac{293}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=\frac{-517}{153}\\2x=-6y+\frac{566}{153}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-6y=\frac{9}{10}\\x=y+\frac{3}{40}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-1003}{234}+x\\-5x+4y=\frac{2329}{234}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-6y=\frac{7}{3}\\x=-4y+\frac{-71}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-3y=\frac{123}{7}\\6x-y=\frac{48}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{7},-6)\}\)
2. \(\left\{\begin{matrix}2x+6y=\frac{-3}{4}\\-x-y=\frac{-11}{24}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{-5}{12})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-227}{24}-6x\\-5x-y=\frac{967}{144}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-7}{9})\}\)
4. \(\left\{\begin{matrix}2x+5y=\frac{71}{15}\\x-y=\frac{53}{15}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-1}{3})\}\)
5. \(\left\{\begin{matrix}3x-6y=\frac{-48}{5}\\-x+3y=4\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{4}{5})\}\)
6. \(\left\{\begin{matrix}-x+5y=\frac{-1117}{180}\\5x=-3y+\frac{-1}{12}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{-10}{9})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{344}{35}-2x\\-x-y=\frac{-72}{35}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-8}{7})\}\)
8. \(\left\{\begin{matrix}-5x+y=\frac{-1357}{42}\\3x=3y+\frac{293}{14}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{-9}{14})\}\)
9. \(\left\{\begin{matrix}-x-5y=\frac{-517}{153}\\2x=-6y+\frac{566}{153}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{13}{17})\}\)
10. \(\left\{\begin{matrix}-3x-6y=\frac{9}{10}\\x=y+\frac{3}{40}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-1}{8})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-1003}{234}+x\\-5x+4y=\frac{2329}{234}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{17}{13})\}\)
12. \(\left\{\begin{matrix}5x-6y=\frac{7}{3}\\x=-4y+\frac{-71}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},-1)\}\)