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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{99}{8}+x\\5x+2y=\frac{-607}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+y=\frac{34}{9}\\2x+2y=\frac{8}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+6y=\frac{31}{6}\\3x=5y+\frac{-43}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-106}{39}+3x\\-6x+2y=\frac{-472}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{760}{91}-4x\\x-3y=\frac{-122}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-30}{7}+4x\\x-y=\frac{9}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=1-x\\-3x+6y=\frac{-18}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+2y=\frac{-17}{3}\\x-4y=\frac{43}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{101}{16}-6x\\-3x+y=\frac{-55}{16}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{73}{18}+5x\\-5x+4y=\frac{157}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-y=\frac{-3}{5}\\-3x-6y=\frac{-58}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-107}{4}+x\\4x+3y=16\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{99}{8}+x\\5x+2y=\frac{-607}{8}\end{matrix}\right.\qquad V=\{(-15,\frac{-7}{16})\}\)
2. \(\left\{\begin{matrix}4x+y=\frac{34}{9}\\2x+2y=\frac{8}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-2}{3})\}\)
3. \(\left\{\begin{matrix}x+6y=\frac{31}{6}\\3x=5y+\frac{-43}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{7}{9})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-106}{39}+3x\\-6x+2y=\frac{-472}{39}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{-5}{3})\}\)
5. \(\left\{\begin{matrix}4y=\frac{760}{91}-4x\\x-3y=\frac{-122}{91}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{6}{7})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-30}{7}+4x\\x-y=\frac{9}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-3}{7})\}\)
7. \(\left\{\begin{matrix}-y=1-x\\-3x+6y=\frac{-18}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-1}{5})\}\)
8. \(\left\{\begin{matrix}2x+2y=\frac{-17}{3}\\x-4y=\frac{43}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},-2)\}\)
9. \(\left\{\begin{matrix}-3y=\frac{101}{16}-6x\\-3x+y=\frac{-55}{16}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{9}{16})\}\)
10. \(\left\{\begin{matrix}y=\frac{73}{18}+5x\\-5x+4y=\frac{157}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{14}{9})\}\)
11. \(\left\{\begin{matrix}2x-y=\frac{-3}{5}\\-3x-6y=\frac{-58}{5}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-107}{4}+x\\4x+3y=16\end{matrix}\right.\qquad V=\{(\frac{-5}{4},7)\}\)