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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-3y=\frac{-77}{12}\\x-3y=\frac{-53}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-2y=\frac{-890}{143}\\-x=-y+\frac{-75}{143}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+6y=\frac{-3}{55}\\5x-3y=\frac{30}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-387}{154}\\-x=-5y+\frac{247}{154}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-4y=\frac{205}{91}\\-x-3y=\frac{327}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{7}{20}-x\\-6x-5y=\frac{15}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{100}{11}-4x\\-2x+6y=\frac{5}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{37}{14}-x\\-5x+5y=\frac{75}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+y=\frac{-429}{70}\\-5x=2y+\frac{130}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+3y=\frac{399}{110}\\-2x=y+\frac{-153}{110}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-21}{22}+6x\\2x-y=\frac{-19}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{97}{14}+2x\\-x+5y=\frac{-169}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-3y=\frac{-77}{12}\\x-3y=\frac{-53}{12}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{5}{4})\}\)
2. \(\left\{\begin{matrix}-6x-2y=\frac{-890}{143}\\-x=-y+\frac{-75}{143}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{5}{13})\}\)
3. \(\left\{\begin{matrix}-x+6y=\frac{-3}{55}\\5x-3y=\frac{30}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{11})\}\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-387}{154}\\-x=-5y+\frac{247}{154}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{5}{14})\}\)
5. \(\left\{\begin{matrix}-5x-4y=\frac{205}{91}\\-x-3y=\frac{327}{91}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-10}{7})\}\)
6. \(\left\{\begin{matrix}3y=\frac{7}{20}-x\\-6x-5y=\frac{15}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{20})\}\)
7. \(\left\{\begin{matrix}-y=\frac{100}{11}-4x\\-2x+6y=\frac{5}{11}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{10}{11})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{37}{14}-x\\-5x+5y=\frac{75}{14}\end{matrix}\right.\qquad V=\{(-2,\frac{-13}{14})\}\)
9. \(\left\{\begin{matrix}6x+y=\frac{-429}{70}\\-5x=2y+\frac{130}{21}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{-13}{14})\}\)
10. \(\left\{\begin{matrix}5x+3y=\frac{399}{110}\\-2x=y+\frac{-153}{110}\end{matrix}\right.\qquad V=\{(\frac{6}{11},\frac{3}{10})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-21}{22}+6x\\2x-y=\frac{-19}{44}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{1}{4})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{97}{14}+2x\\-x+5y=\frac{-169}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-19}{14})\}\)