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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=\frac{115}{11}\\4x=y+\frac{111}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-49}{6}-6x\\-4x+y=\frac{133}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-386}{63}+2x\\6x-y=\frac{242}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=\frac{587}{30}\\x+y=\frac{149}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{310}{7}-5x\\x-3y=\frac{10}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-39}{14}+4x\\-x-3y=\frac{-18}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+5y=\frac{-37}{12}\\-x+y=\frac{-35}{48}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-6y=\frac{163}{9}\\-x=-y+\frac{-55}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{316}{153}\\3x=-6y+\frac{-227}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-242}{3}-6x\\3x+y=\frac{-107}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{-1}{3}\\-x+4y=\frac{13}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+y=\frac{-43}{44}\\5x-2y=\frac{73}{88}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=\frac{115}{11}\\4x=y+\frac{111}{11}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-1}{11})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-49}{6}-6x\\-4x+y=\frac{133}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{7}{18})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-386}{63}+2x\\6x-y=\frac{242}{21}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{-6}{7})\}\)
4. \(\left\{\begin{matrix}4x+3y=\frac{587}{30}\\x+y=\frac{149}{30}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{3}{10})\}\)
5. \(\left\{\begin{matrix}5y=\frac{310}{7}-5x\\x-3y=\frac{10}{7}\end{matrix}\right.\qquad V=\{(7,\frac{13}{7})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-39}{14}+4x\\-x-3y=\frac{-18}{7}\end{matrix}\right.\qquad V=\{(\frac{15}{14},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}4x+5y=\frac{-37}{12}\\-x+y=\frac{-35}{48}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{-2}{3})\}\)
8. \(\left\{\begin{matrix}2x-6y=\frac{163}{9}\\-x=-y+\frac{-55}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{18},-3)\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{316}{153}\\3x=-6y+\frac{-227}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{-8}{9})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-242}{3}-6x\\3x+y=\frac{-107}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},-15)\}\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{-1}{3}\\-x+4y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}2x+y=\frac{-43}{44}\\5x-2y=\frac{73}{88}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-8}{11})\}\)