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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-3y=\frac{-23}{12}\\4x-2y=\frac{2}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-y=\frac{-53}{10}\\3x=3y+\frac{219}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{31}{30}-5x\\-6x-y=\frac{-19}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+5y=\frac{-59}{4}\\x+4y=\frac{-133}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-4y=\frac{218}{77}\\-x=5y+\frac{-141}{154}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+3y=\frac{-85}{12}\\3x-y=\frac{595}{144}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+3y=\frac{1116}{323}\\-x+y=\frac{-236}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-674}{39}-5x\\-2x+y=\frac{281}{39}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-2y=-3\\x=-2y+\frac{11}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-4y=\frac{-4}{5}\\-x-5y=\frac{-23}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{9}{20}\\x+6y=\frac{117}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{109}{171}+2x\\-5x-y=\frac{-1903}{342}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-3y=\frac{-23}{12}\\4x-2y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{5}{6})\}\)
2. \(\left\{\begin{matrix}-6x-y=\frac{-53}{10}\\3x=3y+\frac{219}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-11}{2})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{31}{30}-5x\\-6x-y=\frac{-19}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-1}{20})\}\)
4. \(\left\{\begin{matrix}-5x+5y=\frac{-59}{4}\\x+4y=\frac{-133}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-13}{4})\}\)
5. \(\left\{\begin{matrix}2x-4y=\frac{218}{77}\\-x=5y+\frac{-141}{154}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{-1}{14})\}\)
6. \(\left\{\begin{matrix}-4x+3y=\frac{-85}{12}\\3x-y=\frac{595}{144}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-17}{18})\}\)
7. \(\left\{\begin{matrix}3x+3y=\frac{1116}{323}\\-x+y=\frac{-236}{323}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{4}{19})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-674}{39}-5x\\-2x+y=\frac{281}{39}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-19}{13})\}\)
9. \(\left\{\begin{matrix}-2x-2y=-3\\x=-2y+\frac{11}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{1}{3})\}\)
10. \(\left\{\begin{matrix}3x-4y=\frac{-4}{5}\\-x-5y=\frac{-23}{4}\end{matrix}\right.\qquad V=\{(1,\frac{19}{20})\}\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{9}{20}\\x+6y=\frac{117}{20}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{9}{10})\}\)
12. \(\left\{\begin{matrix}3y=\frac{109}{171}+2x\\-5x-y=\frac{-1903}{342}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{16}{19})\}\)