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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+4y=\frac{-211}{165}\\-x+y=\frac{-289}{165}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{664}{35}-4x\\x-5y=\frac{-118}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-2y=\frac{1}{4}\\-x=y+2\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{15}{17}\\-6x=y+\frac{127}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-35}{11}-6x\\x-y=\frac{-145}{66}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-44}{17}+5x\\x+2y=\frac{-73}{85}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{-205}{7}\\-x+2y=\frac{65}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-62}{21}+4x\\-x+4y=\frac{677}{126}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{-281}{304}\\3x-3y=\frac{-615}{304}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{1348}{95}\\-5x=6y+\frac{366}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-3y=\frac{89}{12}\\6x=-y+\frac{31}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{1009}{340}+x\\4x-5y=\frac{-514}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+4y=\frac{-211}{165}\\-x+y=\frac{-289}{165}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{-14}{15})\}\)
2. \(\left\{\begin{matrix}4y=\frac{664}{35}-4x\\x-5y=\frac{-118}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{18}{5})\}\)
3. \(\left\{\begin{matrix}-5x-2y=\frac{1}{4}\\-x=y+2\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-13}{4})\}\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{15}{17}\\-6x=y+\frac{127}{51}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{1}{3})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-35}{11}-6x\\x-y=\frac{-145}{66}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{5}{6})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-44}{17}+5x\\x+2y=\frac{-73}{85}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-9}{17})\}\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{-205}{7}\\-x+2y=\frac{65}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},5)\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-62}{21}+4x\\-x+4y=\frac{677}{126}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},\frac{10}{9})\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{-281}{304}\\3x-3y=\frac{-615}{304}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{-1}{16})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{1348}{95}\\-5x=6y+\frac{366}{19}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{-4}{19})\}\)
11. \(\left\{\begin{matrix}5x-3y=\frac{89}{12}\\6x=-y+\frac{31}{4}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-1}{4})\}\)
12. \(\left\{\begin{matrix}4y=\frac{1009}{340}+x\\4x-5y=\frac{-514}{85}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{9}{17})\}\)