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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+y=\frac{-102}{11}\\-2x+6y=\frac{-128}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-79}{13}-6x\\x+4y=\frac{139}{39}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{31}{63}-x\\-2x+2y=\frac{-370}{63}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-2y=\frac{716}{153}\\3x+y=\frac{164}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+y=\frac{-187}{28}\\5x-4y=\frac{99}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+5y=\frac{-497}{51}\\3x=y+\frac{-23}{51}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-39}{20}+6x\\-x-6y=0\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-y=\frac{-123}{7}\\-3x=-2y+\frac{348}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{161}{20}+2x\\-6x+y=\frac{83}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=-105+6x\\-4x+6y=-50\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-2y=\frac{294}{17}\\3x=y+\frac{-193}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=-77\\-4x+y=29\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+y=\frac{-102}{11}\\-2x+6y=\frac{-128}{11}\end{matrix}\right.\qquad V=\{(2,\frac{-14}{11})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-79}{13}-6x\\x+4y=\frac{139}{39}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{17}{13})\}\)
3. \(\left\{\begin{matrix}y=\frac{31}{63}-x\\-2x+2y=\frac{-370}{63}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{-11}{9})\}\)
4. \(\left\{\begin{matrix}4x-2y=\frac{716}{153}\\3x+y=\frac{164}{51}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-2}{17})\}\)
5. \(\left\{\begin{matrix}5x+y=\frac{-187}{28}\\5x-4y=\frac{99}{14}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{-11}{4})\}\)
6. \(\left\{\begin{matrix}2x+5y=\frac{-497}{51}\\3x=y+\frac{-23}{51}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{-5}{3})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-39}{20}+6x\\-x-6y=0\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-1}{20})\}\)
8. \(\left\{\begin{matrix}5x-y=\frac{-123}{7}\\-3x=-2y+\frac{348}{35}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{-3}{7})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{161}{20}+2x\\-6x+y=\frac{83}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-5}{4})\}\)
10. \(\left\{\begin{matrix}-y=-105+6x\\-4x+6y=-50\end{matrix}\right.\qquad V=\{(17,3)\}\)
11. \(\left\{\begin{matrix}-4x-2y=\frac{294}{17}\\3x=y+\frac{-193}{17}\end{matrix}\right.\qquad V=\{(-4,\frac{-11}{17})\}\)
12. \(\left\{\begin{matrix}4x-4y=-77\\-4x+y=29\end{matrix}\right.\qquad V=\{(\frac{-13}{4},16)\}\)