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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+4y=\frac{-1171}{104}\\-6x=y+\frac{733}{52}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-y=\frac{1}{2}\\-2x=-6y+\frac{7}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-3y=\frac{5}{18}\\-x=-4y+\frac{10}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{9}{8}\\-x-4y=\frac{-1}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+3y=\frac{-287}{20}\\-4x-2y=\frac{37}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=\frac{-179}{40}\\-5x=3y+\frac{437}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{-53}{3}\\x+4y=\frac{4}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{139}{80}-x\\-2x+2y=\frac{29}{40}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{23}{2}-2x\\-6x-y=\frac{59}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-69}{11}+4x\\x+6y=\frac{-255}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+y=\frac{7}{9}\\3x+4y=\frac{16}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{2056}{19}-6x\\x+6y=\frac{348}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+4y=\frac{-1171}{104}\\-6x=y+\frac{733}{52}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{2}{13})\}\)
2. \(\left\{\begin{matrix}-5x-y=\frac{1}{2}\\-2x=-6y+\frac{7}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}2x-3y=\frac{5}{18}\\-x=-4y+\frac{10}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{9}{8}\\-x-4y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{8})\}\)
5. \(\left\{\begin{matrix}x+3y=\frac{-287}{20}\\-4x-2y=\frac{37}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{20},-5)\}\)
6. \(\left\{\begin{matrix}3x+y=\frac{-179}{40}\\-5x=3y+\frac{437}{40}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-13}{5})\}\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{-53}{3}\\x+4y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}6y=\frac{139}{80}-x\\-2x+2y=\frac{29}{40}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{3}{10})\}\)
9. \(\left\{\begin{matrix}6y=\frac{23}{2}-2x\\-6x-y=\frac{59}{18}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{20}{9})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-69}{11}+4x\\x+6y=\frac{-255}{11}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{-11}{3})\}\)
11. \(\left\{\begin{matrix}x+y=\frac{7}{9}\\3x+4y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},3)\}\)
12. \(\left\{\begin{matrix}4y=\frac{2056}{19}-6x\\x+6y=\frac{348}{19}\end{matrix}\right.\qquad V=\{(18,\frac{1}{19})\}\)