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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-31}{14}+x\\6x+3y=\frac{102}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=3\\3x+y=\frac{-17}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-339}{208}\\-3x=-5y+\frac{-463}{208}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+4y=10\\-x=-y+\frac{5}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+6y=\frac{-101}{9}\\x-5y=\frac{127}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+6y=\frac{198}{35}\\2x-y=\frac{-41}{70}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{592}{117}-4x\\2x+2y=\frac{374}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+2y=\frac{-21}{4}\\-2x-4y=\frac{21}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{77}{10}+4x\\5x-y=\frac{-71}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{9}{4}-5x\\-x-y=\frac{1}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+3y=\frac{-941}{76}\\-4x+3y=\frac{-857}{76}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+y=\frac{-47}{12}\\6x+6y=\frac{-17}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-31}{14}+x\\6x+3y=\frac{102}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}-2x-6y=3\\3x+y=\frac{-17}{2}\end{matrix}\right.\qquad V=\{(-3,\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-339}{208}\\-3x=-5y+\frac{-463}{208}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{1}{16})\}\)
4. \(\left\{\begin{matrix}-4x+4y=10\\-x=-y+\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{19}{4})\}\)
5. \(\left\{\begin{matrix}5x+6y=\frac{-101}{9}\\x-5y=\frac{127}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}-6x+6y=\frac{198}{35}\\2x-y=\frac{-41}{70}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{13}{10})\}\)
7. \(\left\{\begin{matrix}y=\frac{592}{117}-4x\\2x+2y=\frac{374}{117}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{4}{9})\}\)
8. \(\left\{\begin{matrix}x+2y=\frac{-21}{4}\\-2x-4y=\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-3)\}\)
9. \(\left\{\begin{matrix}6y=\frac{77}{10}+4x\\5x-y=\frac{-71}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{-5}{4})\}\)
10. \(\left\{\begin{matrix}3y=\frac{9}{4}-5x\\-x-y=\frac{1}{20}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-5}{4})\}\)
11. \(\left\{\begin{matrix}-x+3y=\frac{-941}{76}\\-4x+3y=\frac{-857}{76}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-17}{4})\}\)
12. \(\left\{\begin{matrix}6x+y=\frac{-47}{12}\\6x+6y=\frac{-17}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-11}{12})\}\)