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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-2y=\frac{-301}{34}\\x-y=\frac{-13}{68}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+5y=\frac{-155}{12}\\-x+3y=\frac{-37}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-202}{15}+4x\\-4x-4y=\frac{-232}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-397}{70}+3x\\x-4y=\frac{249}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-3y=\frac{25}{2}\\-x=-3y+\frac{-55}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-136}{7}-2x\\x-y=\frac{-44}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-4y=\frac{47}{5}\\x-2y=\frac{87}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{-11}{10}\\-x=4y+\frac{-31}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{-557}{182}+x\\3x-5y=\frac{383}{182}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{-156}{95}\\x+y=\frac{58}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{204}{19}\\2x=-y+\frac{35}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+2y=115\\3x=y+\frac{125}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-2y=\frac{-301}{34}\\x-y=\frac{-13}{68}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{5}{4})\}\)
2. \(\left\{\begin{matrix}3x+5y=\frac{-155}{12}\\-x+3y=\frac{-37}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-19}{12})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-202}{15}+4x\\-4x-4y=\frac{-232}{15}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}5y=\frac{-397}{70}+3x\\x-4y=\frac{249}{70}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-5}{7})\}\)
5. \(\left\{\begin{matrix}2x-3y=\frac{25}{2}\\-x=-3y+\frac{-55}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},-5)\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-136}{7}-2x\\x-y=\frac{-44}{7}\end{matrix}\right.\qquad V=\{(-4,\frac{16}{7})\}\)
7. \(\left\{\begin{matrix}4x-4y=\frac{47}{5}\\x-2y=\frac{87}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{20},-2)\}\)
8. \(\left\{\begin{matrix}-5x-4y=\frac{-11}{10}\\-x=4y+\frac{-31}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{9}{10})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{-557}{182}+x\\3x-5y=\frac{383}{182}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{4}{13})\}\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{-156}{95}\\x+y=\frac{58}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{4}{19})\}\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{204}{19}\\2x=-y+\frac{35}{19}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},3)\}\)
12. \(\left\{\begin{matrix}6x+2y=115\\3x=y+\frac{125}{2}\end{matrix}\right.\qquad V=\{(20,\frac{-5}{2})\}\)