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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-2y=\frac{-122}{15}\\2x-4y=\frac{116}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-6y=\frac{89}{17}\\x=y+\frac{59}{102}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{1420}{171}-5x\\3x+y=\frac{-212}{171}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-33}{4}\\-x-y=-5\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{1068}{187}+6x\\x+3y=\frac{-416}{187}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-147}{5}-3x\\6x+y=\frac{-379}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-4y=\frac{-1}{2}\\-4x=3y+\frac{-13}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+y=-33\\2x=2y+\frac{-82}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-31}{65}-x\\-4x+4y=\frac{-16}{65}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{-215}{8}\\x-y=\frac{49}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-6y=\frac{123}{17}\\5x=y+\frac{109}{34}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+2y=\frac{-204}{19}\\x=y+\frac{-88}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-2y=\frac{-122}{15}\\2x-4y=\frac{116}{15}\end{matrix}\right.\qquad V=\{(6,\frac{16}{15})\}\)
2. \(\left\{\begin{matrix}3x-6y=\frac{89}{17}\\x=y+\frac{59}{102}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{-7}{6})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{1420}{171}-5x\\3x+y=\frac{-212}{171}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{-14}{9})\}\)
4. \(\left\{\begin{matrix}5x-2y=\frac{-33}{4}\\-x-y=-5\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{19}{4})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{1068}{187}+6x\\x+3y=\frac{-416}{187}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{-6}{11})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-147}{5}-3x\\6x+y=\frac{-379}{10}\end{matrix}\right.\qquad V=\{(-6,\frac{-19}{10})\}\)
7. \(\left\{\begin{matrix}x-4y=\frac{-1}{2}\\-4x=3y+\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{1}{3})\}\)
8. \(\left\{\begin{matrix}6x+y=-33\\2x=2y+\frac{-82}{3}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},7)\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-31}{65}-x\\-4x+4y=\frac{-16}{65}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{7}{13})\}\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{-215}{8}\\x-y=\frac{49}{8}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-17}{2})\}\)
11. \(\left\{\begin{matrix}6x-6y=\frac{123}{17}\\5x=y+\frac{109}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-12}{17})\}\)
12. \(\left\{\begin{matrix}2x+2y=\frac{-204}{19}\\x=y+\frac{-88}{19}\end{matrix}\right.\qquad V=\{(-5,\frac{-7}{19})\}\)