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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+6y=\frac{-23}{5}\\x=6y+\frac{13}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+4y=\frac{352}{21}\\x-3y=\frac{-8}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+3y=\frac{22}{7}\\4x=y+\frac{149}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-195}{44}-6x\\-x-6y=\frac{609}{88}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{244}{11}-6x\\-x-2y=\frac{194}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-87}{13}\\-5x=-y+\frac{-97}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+6y=\frac{156}{17}\\-x-y=\frac{-69}{34}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{466}{247}\\-x-2y=\frac{166}{247}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+3y=\frac{47}{30}\\3x+5y=\frac{-17}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+3y=\frac{29}{2}\\-2x=-y+\frac{29}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-4y=\frac{-146}{99}\\2x+3y=\frac{-31}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{-341}{90}\\6x=-2y+\frac{43}{45}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+6y=\frac{-23}{5}\\x=6y+\frac{13}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-7}{20})\}\)
2. \(\left\{\begin{matrix}4x+4y=\frac{352}{21}\\x-3y=\frac{-8}{7}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{4}{3})\}\)
3. \(\left\{\begin{matrix}6x+3y=\frac{22}{7}\\4x=y+\frac{149}{21}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-5}{3})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-195}{44}-6x\\-x-6y=\frac{609}{88}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-12}{11})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{244}{11}-6x\\-x-2y=\frac{194}{11}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},-8)\}\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-87}{13}\\-5x=-y+\frac{-97}{13}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{-2}{13})\}\)
7. \(\left\{\begin{matrix}4x+6y=\frac{156}{17}\\-x-y=\frac{-69}{34}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{9}{17})\}\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{466}{247}\\-x-2y=\frac{166}{247}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-2}{19})\}\)
9. \(\left\{\begin{matrix}-x+3y=\frac{47}{30}\\3x+5y=\frac{-17}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{2}{15})\}\)
10. \(\left\{\begin{matrix}-6x+3y=\frac{29}{2}\\-2x=-y+\frac{29}{6}\end{matrix}\right.\qquad V=\{(-2,\frac{5}{6})\}\)
11. \(\left\{\begin{matrix}-x-4y=\frac{-146}{99}\\2x+3y=\frac{-31}{33}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{7}{9})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{-341}{90}\\6x=-2y+\frac{43}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{7}{9})\}\)