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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{92}{5}+x\\6x+3y=\frac{-102}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{7}{3}+2x\\-3x+y=\frac{-1}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-42}{5}+3x\\3x-y=\frac{12}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-2y=\frac{-66}{5}\\3x=3y+\frac{-78}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+5y=\frac{483}{34}\\-x=4y+\frac{67}{68}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+y=\frac{35}{143}\\3x=3y+\frac{489}{143}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-188}{9}-6x\\x-y=\frac{-28}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-4y=\frac{117}{14}\\-x=-6y+\frac{117}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-1197}{110}+3x\\x-2y=\frac{-171}{110}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{-87}{14}-5x\\-x-6y=\frac{127}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-4y=\frac{-244}{5}\\6x=6y+\frac{-384}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-28}{5}-6x\\-6x+y=\frac{124}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{92}{5}+x\\6x+3y=\frac{-102}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},-6)\}\)
2. \(\left\{\begin{matrix}2y=\frac{7}{3}+2x\\-3x+y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{6},2)\}\)
3. \(\left\{\begin{matrix}4y=\frac{-42}{5}+3x\\3x-y=\frac{12}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{15},-2)\}\)
4. \(\left\{\begin{matrix}x-2y=\frac{-66}{5}\\3x=3y+\frac{-78}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{5},8)\}\)
5. \(\left\{\begin{matrix}6x+5y=\frac{483}{34}\\-x=4y+\frac{67}{68}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{-18}{17})\}\)
6. \(\left\{\begin{matrix}5x+y=\frac{35}{143}\\3x=3y+\frac{489}{143}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{-10}{11})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-188}{9}-6x\\x-y=\frac{-28}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-2}{9})\}\)
8. \(\left\{\begin{matrix}5x-4y=\frac{117}{14}\\-x=-6y+\frac{117}{28}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{9}{8})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-1197}{110}+3x\\x-2y=\frac{-171}{110}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{19}{11})\}\)
10. \(\left\{\begin{matrix}4y=\frac{-87}{14}-5x\\-x-6y=\frac{127}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-13}{4})\}\)
11. \(\left\{\begin{matrix}x-4y=\frac{-244}{5}\\6x=6y+\frac{-384}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},12)\}\)
12. \(\left\{\begin{matrix}3y=\frac{-28}{5}-6x\\-6x+y=\frac{124}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{2}{3})\}\)