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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{209}{35}\\6x=-4y+\frac{-682}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{46}{3}+5x\\-x+y=\frac{8}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+y=\frac{-47}{323}\\2x-2y=\frac{1046}{323}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{38}{5}+6x\\x-y=\frac{121}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-6y=\frac{276}{85}\\x+6y=\frac{-548}{85}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+y=\frac{33}{20}\\-6x=5y+\frac{3}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{3}{14}+3x\\x+3y=\frac{-39}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{61}{12}\\5x=-y+\frac{55}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-4y=\frac{-41}{9}\\3x+y=\frac{-427}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+4y=\frac{-580}{21}\\-5x+4y=\frac{-772}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{43}{14}\\2x=y+\frac{575}{84}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-2y=\frac{31}{6}\\x=y+\frac{35}{24}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{209}{35}\\6x=-4y+\frac{-682}{35}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{-11}{7})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{46}{3}+5x\\-x+y=\frac{8}{15}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-19}{15})\}\)
3. \(\left\{\begin{matrix}x+y=\frac{-47}{323}\\2x-2y=\frac{1046}{323}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{-15}{17})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{38}{5}+6x\\x-y=\frac{121}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-14}{3})\}\)
5. \(\left\{\begin{matrix}3x-6y=\frac{276}{85}\\x+6y=\frac{-548}{85}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-16}{17})\}\)
6. \(\left\{\begin{matrix}4x+y=\frac{33}{20}\\-6x=5y+\frac{3}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-3}{4})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{3}{14}+3x\\x+3y=\frac{-39}{56}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-3}{8})\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{61}{12}\\5x=-y+\frac{55}{12}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{5}{4})\}\)
9. \(\left\{\begin{matrix}4x-4y=\frac{-41}{9}\\3x+y=\frac{-427}{36}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{-19}{9})\}\)
10. \(\left\{\begin{matrix}-x+4y=\frac{-580}{21}\\-5x+4y=\frac{-772}{21}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{-19}{3})\}\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{43}{14}\\2x=y+\frac{575}{84}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{-17}{12})\}\)
12. \(\left\{\begin{matrix}4x-2y=\frac{31}{6}\\x=y+\frac{35}{24}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-1}{3})\}\)