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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{163}{16}-5x\\-x-y=\frac{-29}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-y=\frac{-149}{48}\\5x=-2y+\frac{-557}{48}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{38}{5}+5x\\4x+y=\frac{-36}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-y=\frac{-367}{48}\\-2x-3y=\frac{-397}{48}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-32}{15}\\x-4y=\frac{-43}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+5y=\frac{99}{2}\\-4x=-y+\frac{-5}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+y=\frac{-17}{9}\\-3x=-6y+\frac{20}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-89}{8}+x\\5x+6y=\frac{253}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{10}{7}\\4x-y=\frac{80}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{47}{20}-5x\\x-2y=\frac{2}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-6y=\frac{-23}{4}\\-3x+y=\frac{3}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-6y=\frac{-9}{2}\\-2x=4y+\frac{29}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{163}{16}-5x\\-x-y=\frac{-29}{16}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-9}{16})\}\)
2. \(\left\{\begin{matrix}5x-y=\frac{-149}{48}\\5x=-2y+\frac{-557}{48}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-17}{6})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{38}{5}+5x\\4x+y=\frac{-36}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{4}{5})\}\)
4. \(\left\{\begin{matrix}-2x-y=\frac{-367}{48}\\-2x-3y=\frac{-397}{48}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{5}{16})\}\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-32}{15}\\x-4y=\frac{-43}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}3x+5y=\frac{99}{2}\\-4x=-y+\frac{-5}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{17}{2})\}\)
7. \(\left\{\begin{matrix}x+y=\frac{-17}{9}\\-3x=-6y+\frac{20}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-89}{8}+x\\5x+6y=\frac{253}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},6)\}\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{10}{7}\\4x-y=\frac{80}{21}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{4}{3})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{47}{20}-5x\\x-2y=\frac{2}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{1}{20})\}\)
11. \(\left\{\begin{matrix}5x-6y=\frac{-23}{4}\\-3x+y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}-x-6y=\frac{-9}{2}\\-2x=4y+\frac{29}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{7}{3})\}\)