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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{1208}{91}+4x\\x-y=\frac{-218}{91}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-y=\frac{319}{18}\\2x-5y=\frac{191}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-1004}{39}-4x\\5x+y=\frac{253}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-6y=\frac{415}{51}\\-x-y=\frac{-226}{153}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-34}{3}-3x\\-x+6y=\frac{-10}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-11}{56}\\-4x-2y=\frac{61}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-75}{2}+2x\\-x+5y=\frac{149}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=80+6x\\-5x-y=71\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-4y=\frac{-550}{221}\\2x=4y+\frac{-940}{221}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-1}{13}+2x\\-5x+2y=\frac{-9}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{115}{7}-5x\\-x-3y=\frac{-100}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-2y=\frac{189}{80}\\4x=-y+\frac{41}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{1208}{91}+4x\\x-y=\frac{-218}{91}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-6}{13})\}\)
2. \(\left\{\begin{matrix}3x-y=\frac{319}{18}\\2x-5y=\frac{191}{18}\end{matrix}\right.\qquad V=\{(6,\frac{5}{18})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-1004}{39}-4x\\5x+y=\frac{253}{39}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{16}{3})\}\)
4. \(\left\{\begin{matrix}3x-6y=\frac{415}{51}\\-x-y=\frac{-226}{153}\end{matrix}\right.\qquad V=\{(\frac{17}{9},\frac{-7}{17})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-34}{3}-3x\\-x+6y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-11}{56}\\-4x-2y=\frac{61}{14}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{18}{7})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-75}{2}+2x\\-x+5y=\frac{149}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},7)\}\)
8. \(\left\{\begin{matrix}4y=80+6x\\-5x-y=71\end{matrix}\right.\qquad V=\{(-14,-1)\}\)
9. \(\left\{\begin{matrix}-x-4y=\frac{-550}{221}\\2x=4y+\frac{-940}{221}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{10}{13})\}\)
10. \(\left\{\begin{matrix}y=\frac{-1}{13}+2x\\-5x+2y=\frac{-9}{13}\end{matrix}\right.\qquad V=\{(\frac{7}{13},1)\}\)
11. \(\left\{\begin{matrix}4y=\frac{115}{7}-5x\\-x-3y=\frac{-100}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},5)\}\)
12. \(\left\{\begin{matrix}5x-2y=\frac{189}{80}\\4x=-y+\frac{41}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{17}{20})\}\)