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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-4y=\frac{31}{5}\\-x-4y=\frac{27}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-478}{15}-6x\\-x-y=\frac{77}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{43}{28}-2x\\6x+2y=\frac{159}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{48}{7}-3x\\6x+y=\frac{57}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-77}{10}+x\\-4x-5y=\frac{-56}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{-311}{52}-6x\\x-6y=\frac{285}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-2y=\frac{76}{15}\\-x+y=\frac{-41}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-y=\frac{-146}{153}\\-4x+3y=\frac{676}{153}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-5}{12}\\-6x=y+\frac{331}{60}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+6y=\frac{269}{57}\\x=5y+\frac{-1777}{342}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-2}{5}-6x\\-6x-4y=\frac{-48}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=-5-x\\2x-2y=-10\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-4y=\frac{31}{5}\\-x-4y=\frac{27}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-13}{10})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-478}{15}-6x\\-x-y=\frac{77}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{8}{15})\}\)
3. \(\left\{\begin{matrix}-y=\frac{43}{28}-2x\\6x+2y=\frac{159}{28}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{3}{14})\}\)
4. \(\left\{\begin{matrix}5y=\frac{48}{7}-3x\\6x+y=\frac{57}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{15}{14})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-77}{10}+x\\-4x-5y=\frac{-56}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{14}{5})\}\)
6. \(\left\{\begin{matrix}5y=\frac{-311}{52}-6x\\x-6y=\frac{285}{26}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-7}{4})\}\)
7. \(\left\{\begin{matrix}6x-2y=\frac{76}{15}\\-x+y=\frac{-41}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-17}{6})\}\)
8. \(\left\{\begin{matrix}-x-y=\frac{-146}{153}\\-4x+3y=\frac{676}{153}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{20}{17})\}\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-5}{12}\\-6x=y+\frac{331}{60}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-4}{15})\}\)
10. \(\left\{\begin{matrix}2x+6y=\frac{269}{57}\\x=5y+\frac{-1777}{342}\end{matrix}\right.\qquad V=\{(\frac{-9}{19},\frac{17}{18})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-2}{5}-6x\\-6x-4y=\frac{-48}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{15},2)\}\)
12. \(\left\{\begin{matrix}-y=-5-x\\2x-2y=-10\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{20}{3})\}\)