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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+y=\frac{-141}{38}\\-6x+3y=\frac{-453}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+4y=27\\-x-5y=\frac{-25}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-1040}{11}-5x\\x+6y=\frac{-1308}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{76}{195}\\2x-3y=\frac{28}{195}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-4y=\frac{142}{3}\\2x=y+\frac{-31}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-4y=\frac{503}{17}\\2x+2y=\frac{-269}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{122}{91}+4x\\-x-2y=\frac{-92}{91}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-3y=\frac{-98}{33}\\-x=2y+\frac{116}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-41}{20}+2x\\-3x-y=\frac{-133}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-y=\frac{-65}{19}\\4x=-5y+\frac{-168}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+3y=\frac{33}{4}\\x=-5y+\frac{295}{24}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+4y=\frac{629}{30}\\x+6y=\frac{663}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+y=\frac{-141}{38}\\-6x+3y=\frac{-453}{38}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{-9}{2})\}\)
2. \(\left\{\begin{matrix}-6x+4y=27\\-x-5y=\frac{-25}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},3)\}\)
3. \(\left\{\begin{matrix}5y=\frac{-1040}{11}-5x\\x+6y=\frac{-1308}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{11},-20)\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{76}{195}\\2x-3y=\frac{28}{195}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{4}{13})\}\)
5. \(\left\{\begin{matrix}-6x-4y=\frac{142}{3}\\2x=y+\frac{-31}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{-7}{3})\}\)
6. \(\left\{\begin{matrix}x-4y=\frac{503}{17}\\2x+2y=\frac{-269}{17}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{-15}{2})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{122}{91}+4x\\-x-2y=\frac{-92}{91}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{14}{13})\}\)
8. \(\left\{\begin{matrix}5x-3y=\frac{-98}{33}\\-x=2y+\frac{116}{99}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-2}{9})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-41}{20}+2x\\-3x-y=\frac{-133}{20}\end{matrix}\right.\qquad V=\{(2,\frac{13}{20})\}\)
10. \(\left\{\begin{matrix}5x-y=\frac{-65}{19}\\4x=-5y+\frac{-168}{19}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{-20}{19})\}\)
11. \(\left\{\begin{matrix}2x+3y=\frac{33}{4}\\x=-5y+\frac{295}{24}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{7}{3})\}\)
12. \(\left\{\begin{matrix}2x+4y=\frac{629}{30}\\x+6y=\frac{663}{20}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{17}{3})\}\)