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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-898}{77}+2x\\-2x+y=\frac{37}{77}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-3y=\frac{193}{28}\\-3x=-y+\frac{-341}{56}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=12+6x\\-6x+y=9\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{55}{3}\\6x=-5y+-40\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-y=\frac{7}{30}\\3x-5y=\frac{251}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-58}{15}+4x\\-4x+y=\frac{59}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-63}{8}-3x\\-x+y=\frac{1}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+y=\frac{-311}{18}\\4x+5y=\frac{497}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{-13}{10}\\-5x-2y=\frac{-13}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-2y=\frac{90}{17}\\5x-y=\frac{93}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=48+4x\\x+y=-14\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+y=-2\\6x=3y+\frac{51}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-898}{77}+2x\\-2x+y=\frac{37}{77}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-17}{7})\}\)
2. \(\left\{\begin{matrix}2x-3y=\frac{193}{28}\\-3x=-y+\frac{-341}{56}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{-17}{14})\}\)
3. \(\left\{\begin{matrix}4y=12+6x\\-6x+y=9\end{matrix}\right.\qquad V=\{(\frac{-4}{3},1)\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{55}{3}\\6x=-5y+-40\end{matrix}\right.\qquad V=\{(\frac{5}{3},-10)\}\)
5. \(\left\{\begin{matrix}-x-y=\frac{7}{30}\\3x-5y=\frac{251}{30}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-17}{15})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-58}{15}+4x\\-4x+y=\frac{59}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{7}{6})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-63}{8}-3x\\-x+y=\frac{1}{8}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-5}{4})\}\)
8. \(\left\{\begin{matrix}-3x+y=\frac{-311}{18}\\4x+5y=\frac{497}{18}\end{matrix}\right.\qquad V=\{(6,\frac{13}{18})\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{-13}{10}\\-5x-2y=\frac{-13}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{3}{2})\}\)
10. \(\left\{\begin{matrix}4x-2y=\frac{90}{17}\\5x-y=\frac{93}{17}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{-13}{17})\}\)
11. \(\left\{\begin{matrix}4y=48+4x\\x+y=-14\end{matrix}\right.\qquad V=\{(-13,-1)\}\)
12. \(\left\{\begin{matrix}x+y=-2\\6x=3y+\frac{51}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-19}{10})\}\)