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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+4y=\frac{27}{5}\\2x+3y=\frac{59}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-3y=\frac{-401}{119}\\2x=-2y+\frac{258}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-422}{195}\\-x=y+\frac{-29}{195}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{28}{9}\\-6x+y=\frac{98}{45}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{25}{18}-5x\\x-y=\frac{1}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{101}{5}-4x\\x-2y=\frac{77}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+6y=\frac{1602}{143}\\-5x+y=\frac{1203}{143}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-5y=\frac{-144}{119}\\4x+5y=\frac{824}{119}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+6y=\frac{103}{7}\\-2x=5y+\frac{-100}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-3y=\frac{181}{28}\\x=y+\frac{59}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+5y=\frac{67}{104}\\5x+3y=\frac{-523}{104}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=23+4x\\x-2y=\frac{13}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+4y=\frac{27}{5}\\2x+3y=\frac{59}{20}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{5}{4})\}\)
2. \(\left\{\begin{matrix}-x-3y=\frac{-401}{119}\\2x=-2y+\frac{258}{119}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{8}{7})\}\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-422}{195}\\-x=y+\frac{-29}{195}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-7}{15})\}\)
4. \(\left\{\begin{matrix}-5x-5y=\frac{28}{9}\\-6x+y=\frac{98}{45}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-2}{9})\}\)
5. \(\left\{\begin{matrix}5y=\frac{25}{18}-5x\\x-y=\frac{1}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{1}{9})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{101}{5}-4x\\x-2y=\frac{77}{15}\end{matrix}\right.\qquad V=\{(5,\frac{-1}{15})\}\)
7. \(\left\{\begin{matrix}-6x+6y=\frac{1602}{143}\\-5x+y=\frac{1203}{143}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{3}{13})\}\)
8. \(\left\{\begin{matrix}x-5y=\frac{-144}{119}\\4x+5y=\frac{824}{119}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{8}{17})\}\)
9. \(\left\{\begin{matrix}-x+6y=\frac{103}{7}\\-2x=5y+\frac{-100}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{18}{7})\}\)
10. \(\left\{\begin{matrix}2x-3y=\frac{181}{28}\\x=y+\frac{59}{28}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-9}{4})\}\)
11. \(\left\{\begin{matrix}x+5y=\frac{67}{104}\\5x+3y=\frac{-523}{104}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{3}{8})\}\)
12. \(\left\{\begin{matrix}-6y=23+4x\\x-2y=\frac{13}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-7}{2})\}\)