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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-85}{132}+x\\-6x+6y=\frac{-157}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+4y=\frac{12}{5}\\-x=-6y+\frac{-106}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{606}{5}-6x\\-3x+5y=-66\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-2y=\frac{406}{33}\\-x-4y=\frac{677}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-743}{120}+6x\\-6x-y=\frac{-799}{120}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=6+x\\2x+5y=\frac{16}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+y=\frac{85}{8}\\3x=-3y+\frac{699}{16}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{-43}{4}\\-2x-y=\frac{-5}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=0\\5x=y+\frac{7}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{3}{2}\\x-2y=\frac{-7}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+y=\frac{53}{170}\\5x+4y=\frac{-109}{68}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-2103}{209}+3x\\x+4y=\frac{-1237}{209}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-85}{132}+x\\-6x+6y=\frac{-157}{22}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{-3}{11})\}\)
2. \(\left\{\begin{matrix}6x+4y=\frac{12}{5}\\-x=-6y+\frac{-106}{15}\end{matrix}\right.\qquad V=\{(\frac{16}{15},-1)\}\)
3. \(\left\{\begin{matrix}-y=\frac{606}{5}-6x\\-3x+5y=-66\end{matrix}\right.\qquad V=\{(20,\frac{-6}{5})\}\)
4. \(\left\{\begin{matrix}2x-2y=\frac{406}{33}\\-x-4y=\frac{677}{33}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{-16}{3})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-743}{120}+6x\\-6x-y=\frac{-799}{120}\end{matrix}\right.\qquad V=\{(\frac{19}{16},\frac{-7}{15})\}\)
6. \(\left\{\begin{matrix}4y=6+x\\2x+5y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}-6x+y=\frac{85}{8}\\3x=-3y+\frac{699}{16}\end{matrix}\right.\qquad V=\{(\frac{9}{16},14)\}\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{-43}{4}\\-2x-y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{4},-1)\}\)
9. \(\left\{\begin{matrix}6x-4y=0\\5x=y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(1,\frac{3}{2})\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{3}{2}\\x-2y=\frac{-7}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{8})\}\)
11. \(\left\{\begin{matrix}6x+y=\frac{53}{170}\\5x+4y=\frac{-109}{68}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-10}{17})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-2103}{209}+3x\\x+4y=\frac{-1237}{209}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{-17}{11})\}\)