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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-22}{15}-x\\2x-3y=\frac{-17}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{1287}{119}-3x\\-4x+y=\frac{-1261}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-717}{52}-6x\\-x+5y=\frac{635}{104}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-219}{13}-5x\\4x-y=\frac{129}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+6y=\frac{-523}{95}\\-x-3y=\frac{523}{190}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+5y=\frac{-68}{5}\\-x-y=\frac{1}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-47}{8}+x\\2x-6y=\frac{-9}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+6y=\frac{-390}{17}\\x+2y=\frac{-190}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=11-3x\\4x-y=\frac{-31}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{132}{17}-2x\\x-6y=\frac{117}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{23}{3}+2x\\-x+5y=\frac{91}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-3y=\frac{74}{15}\\-5x=-2y+\frac{-50}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-22}{15}-x\\2x-3y=\frac{-17}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{1}{10})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{1287}{119}-3x\\-4x+y=\frac{-1261}{119}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-15}{17})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-717}{52}-6x\\-x+5y=\frac{635}{104}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{11}{13})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-219}{13}-5x\\4x-y=\frac{129}{13}\end{matrix}\right.\qquad V=\{(\frac{3}{13},-9)\}\)
5. \(\left\{\begin{matrix}2x+6y=\frac{-523}{95}\\-x-3y=\frac{523}{190}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{-9}{10})\}\)
6. \(\left\{\begin{matrix}-2x+5y=\frac{-68}{5}\\-x-y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},-2)\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-47}{8}+x\\2x-6y=\frac{-9}{4}\end{matrix}\right.\qquad V=\{(\frac{15}{8},1)\}\)
8. \(\left\{\begin{matrix}-6x+6y=\frac{-390}{17}\\x+2y=\frac{-190}{17}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},-5)\}\)
9. \(\left\{\begin{matrix}3y=11-3x\\4x-y=\frac{-31}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},5)\}\)
10. \(\left\{\begin{matrix}-6y=\frac{132}{17}-2x\\x-6y=\frac{117}{17}\end{matrix}\right.\qquad V=\{(\frac{15}{17},-1)\}\)
11. \(\left\{\begin{matrix}2y=\frac{23}{3}+2x\\-x+5y=\frac{91}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{17}{6})\}\)
12. \(\left\{\begin{matrix}-x-3y=\frac{74}{15}\\-5x=-2y+\frac{-50}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-16}{9})\}\)