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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+6y=\frac{-220}{63}\\3x=5y+\frac{319}{42}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=0-5x\\-2x-y=\frac{-13}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{123}{77}-x\\-5x+3y=\frac{141}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=17\\x=6y+-3\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-50}{3}-6x\\-2x-y=\frac{17}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{96}{5}-3x\\2x+y=\frac{-21}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-3y=\frac{220}{51}\\-2x+y=\frac{-130}{51}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-2y=\frac{-103}{45}\\-2x=5y+\frac{-379}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-y=\frac{-491}{56}\\5x-6y=\frac{275}{28}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-4y=\frac{462}{17}\\-3x=y+\frac{243}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+5y=\frac{-2155}{208}\\-3x+y=\frac{-863}{208}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+5y=\frac{261}{80}\\x+4y=\frac{13}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+6y=\frac{-220}{63}\\3x=5y+\frac{319}{42}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{-11}{14})\}\)
2. \(\left\{\begin{matrix}-4y=0-5x\\-2x-y=\frac{-13}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{123}{77}-x\\-5x+3y=\frac{141}{77}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-9}{11})\}\)
4. \(\left\{\begin{matrix}4x+5y=17\\x=6y+-3\end{matrix}\right.\qquad V=\{(3,1)\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-50}{3}-6x\\-2x-y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(-2,\frac{7}{6})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{96}{5}-3x\\2x+y=\frac{-21}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{-17}{3})\}\)
7. \(\left\{\begin{matrix}2x-3y=\frac{220}{51}\\-2x+y=\frac{-130}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-15}{17})\}\)
8. \(\left\{\begin{matrix}x-2y=\frac{-103}{45}\\-2x=5y+\frac{-379}{45}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{13}{9})\}\)
9. \(\left\{\begin{matrix}-3x-y=\frac{-491}{56}\\5x-6y=\frac{275}{28}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{5}{8})\}\)
10. \(\left\{\begin{matrix}-6x-4y=\frac{462}{17}\\-3x=y+\frac{243}{17}\end{matrix}\right.\qquad V=\{(-5,\frac{12}{17})\}\)
11. \(\left\{\begin{matrix}-6x+5y=\frac{-2155}{208}\\-3x+y=\frac{-863}{208}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{-11}{16})\}\)
12. \(\left\{\begin{matrix}3x+5y=\frac{261}{80}\\x+4y=\frac{13}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-3}{16})\}\)