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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{95}{22}+4x\\2x+2y=\frac{-65}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{87}{22}+4x\\-x-3y=\frac{327}{88}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+4y=\frac{-194}{13}\\3x-y=\frac{-28}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+4y=\frac{-298}{21}\\6x-y=\frac{-257}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-232}{13}\\x+2y=\frac{-51}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+2y=\frac{-794}{99}\\x=4y+\frac{391}{99}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+3y=\frac{-13}{3}\\4x+3y=\frac{59}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{-39}{2}\\3x-y=\frac{33}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-515}{136}-3x\\2x+3y=\frac{-69}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+2y=\frac{15}{28}\\4x=y+\frac{-89}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-3y=\frac{-91}{16}\\5x=-5y+\frac{395}{48}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-53}{8}+6x\\-x-6y=\frac{45}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{95}{22}+4x\\2x+2y=\frac{-65}{11}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{87}{22}+4x\\-x-3y=\frac{327}{88}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-15}{11})\}\)
3. \(\left\{\begin{matrix}5x+4y=\frac{-194}{13}\\3x-y=\frac{-28}{13}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},-2)\}\)
4. \(\left\{\begin{matrix}2x+4y=\frac{-298}{21}\\6x-y=\frac{-257}{21}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-7}{3})\}\)
5. \(\left\{\begin{matrix}4x+4y=\frac{-232}{13}\\x+2y=\frac{-51}{13}\end{matrix}\right.\qquad V=\{(-5,\frac{7}{13})\}\)
6. \(\left\{\begin{matrix}-4x+2y=\frac{-794}{99}\\x=4y+\frac{391}{99}\end{matrix}\right.\qquad V=\{(\frac{19}{11},\frac{-5}{9})\}\)
7. \(\left\{\begin{matrix}-x+3y=\frac{-13}{3}\\4x+3y=\frac{59}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{-39}{2}\\3x-y=\frac{33}{2}\end{matrix}\right.\qquad V=\{(5,\frac{-3}{2})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-515}{136}-3x\\2x+3y=\frac{-69}{68}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{7}{17})\}\)
10. \(\left\{\begin{matrix}5x+2y=\frac{15}{28}\\4x=y+\frac{-89}{35}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{8}{7})\}\)
11. \(\left\{\begin{matrix}x-3y=\frac{-91}{16}\\5x=-5y+\frac{395}{48}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{11}{6})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-53}{8}+6x\\-x-6y=\frac{45}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-19}{16})\}\)