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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+y=\frac{73}{7}\\5x=-4y+\frac{409}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+2y=\frac{573}{77}\\x=2y+\frac{-97}{77}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{-45}{4}\\-6x+y=\frac{9}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-3y=\frac{59}{14}\\x-y=\frac{13}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+5y=\frac{1255}{104}\\x=y+\frac{-251}{104}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+2y=7\\2x+y=3\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+6y=\frac{-149}{85}\\-5x-6y=\frac{479}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+y=\frac{1123}{234}\\-5x=2y+\frac{-430}{117}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+4y=\frac{-139}{15}\\-4x-y=\frac{-44}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-y=\frac{227}{90}\\-2x+4y=\frac{-827}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+2y=\frac{67}{2}\\x=-4y+12\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-599}{285}+3x\\x+3y=\frac{56}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+y=\frac{73}{7}\\5x=-4y+\frac{409}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},13)\}\)
2. \(\left\{\begin{matrix}-5x+2y=\frac{573}{77}\\x=2y+\frac{-97}{77}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-1}{7})\}\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{-45}{4}\\-6x+y=\frac{9}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{-9}{4})\}\)
4. \(\left\{\begin{matrix}2x-3y=\frac{59}{14}\\x-y=\frac{13}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}-5x+5y=\frac{1255}{104}\\x=y+\frac{-251}{104}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{20}{13})\}\)
6. \(\left\{\begin{matrix}3x+2y=7\\2x+y=3\end{matrix}\right.\qquad V=\{(-1,5)\}\)
7. \(\left\{\begin{matrix}-x+6y=\frac{-149}{85}\\-5x-6y=\frac{479}{85}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{-2}{5})\}\)
8. \(\left\{\begin{matrix}6x+y=\frac{1123}{234}\\-5x=2y+\frac{-430}{117}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-5}{18})\}\)
9. \(\left\{\begin{matrix}-5x+4y=\frac{-139}{15}\\-4x-y=\frac{-44}{15}\end{matrix}\right.\qquad V=\{(1,\frac{-16}{15})\}\)
10. \(\left\{\begin{matrix}2x-y=\frac{227}{90}\\-2x+4y=\frac{-827}{90}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-20}{9})\}\)
11. \(\left\{\begin{matrix}6x+2y=\frac{67}{2}\\x=-4y+12\end{matrix}\right.\qquad V=\{(5,\frac{7}{4})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-599}{285}+3x\\x+3y=\frac{56}{95}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-1}{15})\}\)