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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{87}{20}-2x\\4x+2y=\frac{-43}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{8}{19}+6x\\5x-y=\frac{-51}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-6y=\frac{143}{3}\\-x=4y+\frac{113}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-48}{7}-x\\-2x-4y=\frac{-30}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-46}{39}-4x\\x+y=\frac{-49}{78}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-2y=\frac{-187}{42}\\-x-4y=\frac{-191}{126}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{59}{102}\\-6x=3y+\frac{-104}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{35}{8}\\3x=-y+\frac{-175}{48}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{53}{6}\\-x-3y=\frac{2}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{87}{14}\\2x=5y+\frac{-93}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-4y=\frac{389}{48}\\3x-y=\frac{155}{48}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{127}{255}+5x\\-3x-3y=\frac{-233}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{87}{20}-2x\\4x+2y=\frac{-43}{10}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-13}{4})\}\)
2. \(\left\{\begin{matrix}4y=\frac{8}{19}+6x\\5x-y=\frac{-51}{19}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},-1)\}\)
3. \(\left\{\begin{matrix}-6x-6y=\frac{143}{3}\\-x=4y+\frac{113}{18}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{5}{9})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-48}{7}-x\\-2x-4y=\frac{-30}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{3}{2})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-46}{39}-4x\\x+y=\frac{-49}{78}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-1}{6})\}\)
6. \(\left\{\begin{matrix}3x-2y=\frac{-187}{42}\\-x-4y=\frac{-191}{126}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{9}{14})\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{59}{102}\\-6x=3y+\frac{-104}{17}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-5}{17})\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{35}{8}\\3x=-y+\frac{-175}{48}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{-7}{3})\}\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{53}{6}\\-x-3y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{87}{14}\\2x=5y+\frac{-93}{14}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{11}{14})\}\)
11. \(\left\{\begin{matrix}5x-4y=\frac{389}{48}\\3x-y=\frac{155}{48}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-7}{6})\}\)
12. \(\left\{\begin{matrix}-y=\frac{127}{255}+5x\\-3x-3y=\frac{-233}{85}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{19}{15})\}\)