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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+5y=\frac{-199}{28}\\4x-y=\frac{67}{28}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-22}{7}+5x\\-4x+6y=\frac{13}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{-554}{85}\\x+y=\frac{19}{85}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-391}{57}-5x\\-x-y=\frac{272}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-2y=\frac{-23}{10}\\5x-6y=\frac{-83}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{107}{28}-5x\\6x+2y=\frac{277}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{268}{21}\\-6x=-y+\frac{81}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+3y=\frac{-7}{12}\\3x=-5y+\frac{-161}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{1420}{39}\\-x+5y=\frac{-1240}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-488}{55}+5x\\6x+y=\frac{436}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{245}{22}-3x\\-5x-y=\frac{-991}{66}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-151}{9}-5x\\x-2y=\frac{23}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+5y=\frac{-199}{28}\\4x-y=\frac{67}{28}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-5}{4})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-22}{7}+5x\\-4x+6y=\frac{13}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{9}{14})\}\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{-554}{85}\\x+y=\frac{19}{85}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-3}{5})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-391}{57}-5x\\-x-y=\frac{272}{57}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{-17}{3})\}\)
5. \(\left\{\begin{matrix}x-2y=\frac{-23}{10}\\5x-6y=\frac{-83}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{4}{5})\}\)
6. \(\left\{\begin{matrix}-y=\frac{107}{28}-5x\\6x+2y=\frac{277}{14}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{19}{4})\}\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{268}{21}\\-6x=-y+\frac{81}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{11}{7})\}\)
8. \(\left\{\begin{matrix}-x+3y=\frac{-7}{12}\\3x=-5y+\frac{-161}{12}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-13}{12})\}\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{1420}{39}\\-x+5y=\frac{-1240}{39}\end{matrix}\right.\qquad V=\{(\frac{-20}{13},\frac{-20}{3})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-488}{55}+5x\\6x+y=\frac{436}{55}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{-4}{5})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{245}{22}-3x\\-5x-y=\frac{-991}{66}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{-9}{11})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-151}{9}-5x\\x-2y=\frac{23}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-19}{9})\}\)