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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{217}{16}+2x\\-4x+y=\frac{389}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{162}{247}+x\\-5x+5y=\frac{810}{247}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+4y=\frac{99}{7}\\-x+y=\frac{-9}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+4y=\frac{-527}{90}\\x=-2y+\frac{-181}{90}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{279}{10}+3x\\-x+4y=\frac{53}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-85}{8}+2x\\-3x-y=\frac{-121}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-6y=\frac{-27}{4}\\x=2y+\frac{-9}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-517}{180}\\-6x=y+\frac{74}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{45}{76}\\6x=3y+\frac{-129}{76}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-y=\frac{2}{15}\\-6x-2y=\frac{46}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+5y=\frac{543}{8}\\4x=y+\frac{-355}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{28}{11}+4x\\-x-4y=\frac{-122}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{217}{16}+2x\\-4x+y=\frac{389}{16}\end{matrix}\right.\qquad V=\{(-6,\frac{5}{16})\}\)
2. \(\left\{\begin{matrix}y=\frac{162}{247}+x\\-5x+5y=\frac{810}{247}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{14}{13})\}\)
3. \(\left\{\begin{matrix}2x+4y=\frac{99}{7}\\-x+y=\frac{-9}{28}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{9}{4})\}\)
4. \(\left\{\begin{matrix}5x+4y=\frac{-527}{90}\\x=-2y+\frac{-181}{90}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{-7}{10})\}\)
5. \(\left\{\begin{matrix}6y=\frac{279}{10}+3x\\-x+4y=\frac{53}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{13}{20})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-85}{8}+2x\\-3x-y=\frac{-121}{8}\end{matrix}\right.\qquad V=\{(5,\frac{1}{8})\}\)
7. \(\left\{\begin{matrix}3x-6y=\frac{-27}{4}\\x=2y+\frac{-9}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-517}{180}\\-6x=y+\frac{74}{45}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{19}{18})\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{45}{76}\\6x=3y+\frac{-129}{76}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{1}{4})\}\)
10. \(\left\{\begin{matrix}4x-y=\frac{2}{15}\\-6x-2y=\frac{46}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-14}{15})\}\)
11. \(\left\{\begin{matrix}-6x+5y=\frac{543}{8}\\4x=y+\frac{-355}{8}\end{matrix}\right.\qquad V=\{(-11,\frac{3}{8})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{28}{11}+4x\\-x-4y=\frac{-122}{33}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{4}{3})\}\)