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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{-188}{3}\\-x=2y+\frac{23}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+2y=\frac{34}{7}\\6x+y=\frac{139}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-3y=\frac{725}{187}\\-5x=-4y+\frac{-897}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-463}{140}+3x\\-6x-3y=\frac{-849}{140}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{21}{5}-6x\\-x-5y=18\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{-13}{35}\\x=-y+\frac{13}{70}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+4y=\frac{136}{117}\\-x-y=\frac{-34}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-185}{28}-5x\\-x-5y=\frac{221}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{69}{5}+3x\\x+2y=\frac{17}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+6y=\frac{251}{22}\\5x=-y+\frac{1223}{132}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-55}{84}-5x\\-2x+y=\frac{-83}{84}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{79}{12}-4x\\6x-y=\frac{23}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{-188}{3}\\-x=2y+\frac{23}{3}\end{matrix}\right.\qquad V=\{(-13,\frac{8}{3})\}\)
2. \(\left\{\begin{matrix}2x+2y=\frac{34}{7}\\6x+y=\frac{139}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{13}{14})\}\)
3. \(\left\{\begin{matrix}-x-3y=\frac{725}{187}\\-5x=-4y+\frac{-897}{187}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{-14}{11})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-463}{140}+3x\\-6x-3y=\frac{-849}{140}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-11}{20})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{21}{5}-6x\\-x-5y=18\end{matrix}\right.\qquad V=\{(-1,\frac{-17}{5})\}\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{-13}{35}\\x=-y+\frac{13}{70}\end{matrix}\right.\qquad V=\{(\frac{11}{14},\frac{-3}{5})\}\)
7. \(\left\{\begin{matrix}4x+4y=\frac{136}{117}\\-x-y=\frac{-34}{117}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{-15}{13})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-185}{28}-5x\\-x-5y=\frac{221}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-10}{7})\}\)
9. \(\left\{\begin{matrix}6y=\frac{69}{5}+3x\\x+2y=\frac{17}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},2)\}\)
10. \(\left\{\begin{matrix}3x+6y=\frac{251}{22}\\5x=-y+\frac{1223}{132}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{13}{12})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-55}{84}-5x\\-2x+y=\frac{-83}{84}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-5}{12})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{79}{12}-4x\\6x-y=\frac{23}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-7}{8})\}\)