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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{241}{5}\\6x-4y=\frac{-314}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+2y=\frac{-4}{3}\\-x=2y+\frac{-1}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{4}{15}-2x\\5x-y=\frac{-14}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=\frac{96}{5}\\x=-6y+\frac{62}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-3y=\frac{1}{6}\\x=-y+\frac{37}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{13}{5}+3x\\x+6y=\frac{-11}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-3}{10}-3x\\x-4y=\frac{32}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{613}{42}+6x\\5x-4y=\frac{-200}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=\frac{65}{3}\\-5x=-y+\frac{-419}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-3y=\frac{7}{4}\\-x-6y=\frac{67}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-5y=\frac{-47}{3}\\-x=-y+\frac{47}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-194}{39}+6x\\-x+2y=\frac{-593}{234}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{241}{5}\\6x-4y=\frac{-314}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},16)\}\)
2. \(\left\{\begin{matrix}2x+2y=\frac{-4}{3}\\-x=2y+\frac{-1}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{11}{15})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{4}{15}-2x\\5x-y=\frac{-14}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-8}{15})\}\)
4. \(\left\{\begin{matrix}4x+5y=\frac{96}{5}\\x=-6y+\frac{62}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{5},\frac{8}{5})\}\)
5. \(\left\{\begin{matrix}3x-3y=\frac{1}{6}\\x=-y+\frac{37}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{18},1)\}\)
6. \(\left\{\begin{matrix}-2y=\frac{13}{5}+3x\\x+6y=\frac{-11}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-3}{10}-3x\\x-4y=\frac{32}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-13}{10})\}\)
8. \(\left\{\begin{matrix}y=\frac{613}{42}+6x\\5x-4y=\frac{-200}{21}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-5}{6})\}\)
9. \(\left\{\begin{matrix}6x-4y=\frac{65}{3}\\-5x=-y+\frac{-419}{36}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{-11}{4})\}\)
10. \(\left\{\begin{matrix}6x-3y=\frac{7}{4}\\-x-6y=\frac{67}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-4}{3})\}\)
11. \(\left\{\begin{matrix}5x-5y=\frac{-47}{3}\\-x=-y+\frac{47}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{7}{15})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-194}{39}+6x\\-x+2y=\frac{-593}{234}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{-19}{13})\}\)