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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{-53}{12}\\x-y=\frac{-25}{48}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{201}{34}\\-4x=-y+\frac{13}{34}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-2}{21}\\-x+6y=\frac{-122}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{28}{3}-6x\\-5x+4y=\frac{-41}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-6y=\frac{-141}{34}\\-3x+y=\frac{313}{68}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{9}{238}+x\\5x-6y=\frac{54}{119}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-4y=\frac{-131}{7}\\x=y+\frac{-111}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-6y=\frac{227}{2}\\-6x-y=\frac{119}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+3y=\frac{68}{15}\\x+y=\frac{16}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{230}{143}+x\\2x+2y=\frac{-196}{143}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-5y=\frac{1}{15}\\x=y+\frac{-1}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-4y=\frac{836}{91}\\4x=-5y+\frac{-751}{91}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{-53}{12}\\x-y=\frac{-25}{48}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{-9}{16})\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{201}{34}\\-4x=-y+\frac{13}{34}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-2}{21}\\-x+6y=\frac{-122}{21}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-6}{7})\}\)
4. \(\left\{\begin{matrix}y=\frac{28}{3}-6x\\-5x+4y=\frac{-41}{9}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}-3x-6y=\frac{-141}{34}\\-3x+y=\frac{313}{68}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{5}{4})\}\)
6. \(\left\{\begin{matrix}3y=\frac{9}{238}+x\\5x-6y=\frac{54}{119}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{1}{14})\}\)
7. \(\left\{\begin{matrix}-6x-4y=\frac{-131}{7}\\x=y+\frac{-111}{28}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{17}{4})\}\)
8. \(\left\{\begin{matrix}4x-6y=\frac{227}{2}\\-6x-y=\frac{119}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},-20)\}\)
9. \(\left\{\begin{matrix}5x+3y=\frac{68}{15}\\x+y=\frac{16}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{2}{5})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{230}{143}+x\\2x+2y=\frac{-196}{143}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-3}{13})\}\)
11. \(\left\{\begin{matrix}4x-5y=\frac{1}{15}\\x=y+\frac{-1}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-1}{3})\}\)
12. \(\left\{\begin{matrix}x-4y=\frac{836}{91}\\4x=-5y+\frac{-751}{91}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-15}{7})\}\)