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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-114}{35}-x\\-4x+2y=\frac{466}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+4y=\frac{-5}{8}\\x+2y=\frac{-5}{16}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-5y=\frac{9}{2}\\x+6y=\frac{69}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{-61}{9}\\-6x=-y+\frac{67}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-41}{3}+5x\\5x-y=\frac{109}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-5y=\frac{704}{91}\\-5x+y=\frac{352}{91}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{-174}{17}\\-5x=-y+\frac{-176}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+5y=21\\-x-y=\frac{-12}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+5y=\frac{-305}{51}\\x+3y=\frac{-313}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-y=\frac{-181}{15}\\5x=-2y+\frac{-529}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-5y=\frac{623}{90}\\-6x=-2y+\frac{-49}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{31}{7}+2x\\-x+y=\frac{31}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-114}{35}-x\\-4x+2y=\frac{466}{35}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}2x+4y=\frac{-5}{8}\\x+2y=\frac{-5}{16}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{7}{16})\}\)
3. \(\left\{\begin{matrix}6x-5y=\frac{9}{2}\\x+6y=\frac{69}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{9}{10})\}\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{-61}{9}\\-6x=-y+\frac{67}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{9}{5})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-41}{3}+5x\\5x-y=\frac{109}{6}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}3x-5y=\frac{704}{91}\\-5x+y=\frac{352}{91}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-16}{7})\}\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{-174}{17}\\-5x=-y+\frac{-176}{17}\end{matrix}\right.\qquad V=\{(2,\frac{-6}{17})\}\)
8. \(\left\{\begin{matrix}-4x+5y=21\\-x-y=\frac{-12}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{17}{5})\}\)
9. \(\left\{\begin{matrix}3x+5y=\frac{-305}{51}\\x+3y=\frac{-313}{85}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-19}{15})\}\)
10. \(\left\{\begin{matrix}6x-y=\frac{-181}{15}\\5x=-2y+\frac{-529}{45}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{-3}{5})\}\)
11. \(\left\{\begin{matrix}x-5y=\frac{623}{90}\\-6x=-2y+\frac{-49}{45}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-13}{9})\}\)
12. \(\left\{\begin{matrix}2y=\frac{31}{7}+2x\\-x+y=\frac{31}{14}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{19}{14})\}\)