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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+4y=\frac{-136}{45}\\-x-y=\frac{34}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{213}{209}-5x\\4x-y=\frac{1109}{209}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{-155}{11}\\5x+y=\frac{119}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-5y=\frac{45}{7}\\3x=y+\frac{-199}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-5y=\frac{-100}{153}\\-x=3y+\frac{19}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+5y=\frac{41}{10}\\-x=3y+\frac{-37}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-6y=\frac{22}{3}\\-x=-6y+\frac{35}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{-109}{4}\\-5x-y=\frac{-1129}{48}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{43}{3}+2x\\-4x+y=\frac{7}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{29}{7}\\-x-5y=\frac{59}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{21}{10}-3x\\-2x+3y=\frac{-7}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-167}{88}-2x\\2x+2y=\frac{-191}{88}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+4y=\frac{-136}{45}\\-x-y=\frac{34}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-5}{9})\}\)
2. \(\left\{\begin{matrix}2y=\frac{213}{209}-5x\\4x-y=\frac{1109}{209}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{-19}{11})\}\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{-155}{11}\\5x+y=\frac{119}{11}\end{matrix}\right.\qquad V=\{(2,\frac{9}{11})\}\)
4. \(\left\{\begin{matrix}-2x-5y=\frac{45}{7}\\3x=y+\frac{-199}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{-4}{5})\}\)
5. \(\left\{\begin{matrix}-6x-5y=\frac{-100}{153}\\-x=3y+\frac{19}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{-2}{9})\}\)
6. \(\left\{\begin{matrix}-6x+5y=\frac{41}{10}\\-x=3y+\frac{-37}{30}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}4x-6y=\frac{22}{3}\\-x=-6y+\frac{35}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{3},3)\}\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{-109}{4}\\-5x-y=\frac{-1129}{48}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{3}{16})\}\)
9. \(\left\{\begin{matrix}6y=\frac{43}{3}+2x\\-4x+y=\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{5}{2})\}\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{29}{7}\\-x-5y=\frac{59}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-3}{7})\}\)
11. \(\left\{\begin{matrix}-y=\frac{21}{10}-3x\\-2x+3y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-9}{10})\}\)
12. \(\left\{\begin{matrix}y=\frac{-167}{88}-2x\\2x+2y=\frac{-191}{88}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{-3}{11})\}\)