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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{169}{48}-5x\\4x+6y=\frac{91}{24}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{-37}{66}\\-4x=3y+\frac{329}{33}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{-7}{13}\\x+y=\frac{41}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{127}{45}\\4x+y=\frac{133}{45}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{-151}{30}\\-2x-y=\frac{-137}{60}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+y=\frac{59}{20}\\5x-5y=\frac{-37}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+3y=\frac{-12}{5}\\-x=-3y+\frac{24}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-147}{26}\\x=-3y+\frac{-229}{52}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=-5-6x\\x-6y=\frac{-13}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-5y=\frac{-148}{13}\\-x-4y=\frac{-43}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{-264}{17}\\x=6y+\frac{123}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{487}{110}\\5x=2y+\frac{358}{55}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{169}{48}-5x\\4x+6y=\frac{91}{24}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{3}{16})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{-37}{66}\\-4x=3y+\frac{329}{33}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{5}{11})\}\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{-7}{13}\\x+y=\frac{41}{13}\end{matrix}\right.\qquad V=\{(2,\frac{15}{13})\}\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{127}{45}\\4x+y=\frac{133}{45}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-13}{9})\}\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{-151}{30}\\-2x-y=\frac{-137}{60}\end{matrix}\right.\qquad V=\{(\frac{13}{15},\frac{11}{20})\}\)
6. \(\left\{\begin{matrix}6x+y=\frac{59}{20}\\5x-5y=\frac{-37}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{19}{20})\}\)
7. \(\left\{\begin{matrix}3x+3y=\frac{-12}{5}\\-x=-3y+\frac{24}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},1)\}\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-147}{26}\\x=-3y+\frac{-229}{52}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-18}{13})\}\)
9. \(\left\{\begin{matrix}-2y=-5-6x\\x-6y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},1)\}\)
10. \(\left\{\begin{matrix}6x-5y=\frac{-148}{13}\\-x-4y=\frac{-43}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{14}{13})\}\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{-264}{17}\\x=6y+\frac{123}{17}\end{matrix}\right.\qquad V=\{(3,\frac{-12}{17})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{487}{110}\\5x=2y+\frac{358}{55}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{-3}{10})\}\)