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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-y=\frac{-16}{21}\\5x=-2y+\frac{130}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-14}{5}+4x\\x-5y=\frac{3}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-19}{72}-x\\-5x+6y=\frac{41}{72}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+4y=-11\\5x=-5y+\frac{-95}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-y=\frac{-621}{152}\\-6x-5y=\frac{1055}{152}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{55}{7}\\x=-3y+\frac{-85}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-5y=\frac{30}{13}\\x=-y+\frac{30}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-49}{3}-3x\\-x+5y=\frac{-46}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-5y=\frac{51}{22}\\-x+y=\frac{-37}{110}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-3y=20\\-3x=-y+\frac{152}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+4y=\frac{7}{6}\\x-y=\frac{-7}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-23}{30}-3x\\-6x-y=\frac{-112}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-y=\frac{-16}{21}\\5x=-2y+\frac{130}{21}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{10}{7})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-14}{5}+4x\\x-5y=\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{1}{10})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-19}{72}-x\\-5x+6y=\frac{41}{72}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{3}{16})\}\)
4. \(\left\{\begin{matrix}x+4y=-11\\5x=-5y+\frac{-95}{2}\end{matrix}\right.\qquad V=\{(-9,\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}4x-y=\frac{-621}{152}\\-6x-5y=\frac{1055}{152}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-1}{8})\}\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{55}{7}\\x=-3y+\frac{-85}{14}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-5}{2})\}\)
7. \(\left\{\begin{matrix}5x-5y=\frac{30}{13}\\x=-y+\frac{30}{13}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{12}{13})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-49}{3}-3x\\-x+5y=\frac{-46}{3}\end{matrix}\right.\qquad V=\{(-3,\frac{-11}{3})\}\)
9. \(\left\{\begin{matrix}6x-5y=\frac{51}{22}\\-x+y=\frac{-37}{110}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{3}{10})\}\)
10. \(\left\{\begin{matrix}-5x-3y=20\\-3x=-y+\frac{152}{15}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}3x+4y=\frac{7}{6}\\x-y=\frac{-7}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{5}{12})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-23}{30}-3x\\-6x-y=\frac{-112}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{9}{5})\}\)