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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{77}{3}+4x\\x-5y=\frac{-22}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-2y=\frac{197}{153}\\3x+4y=\frac{-421}{153}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{118}{15}+2x\\3x-y=\frac{-9}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=7-6x\\2x+2y=4\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-y=\frac{-34}{33}\\-6x-5y=\frac{178}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{-35}{68}\\5x=-y+\frac{-109}{68}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+2y=\frac{674}{117}\\-4x-y=\frac{-661}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-5y=\frac{19}{3}\\-x=y+\frac{13}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=7-6x\\-x-4y=\frac{-4}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{-1652}{221}\\-x-4y=\frac{903}{221}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-7}{2}-2x\\-x-2y=\frac{7}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{317}{247}+5x\\-x+y=\frac{128}{247}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{77}{3}+4x\\x-5y=\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{1}{6})\}\)
2. \(\left\{\begin{matrix}-x-2y=\frac{197}{153}\\3x+4y=\frac{-421}{153}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{-5}{9})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{118}{15}+2x\\3x-y=\frac{-9}{5}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},-1)\}\)
4. \(\left\{\begin{matrix}y=7-6x\\2x+2y=4\end{matrix}\right.\qquad V=\{(1,1)\}\)
5. \(\left\{\begin{matrix}2x-y=\frac{-34}{33}\\-6x-5y=\frac{178}{11}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-18}{11})\}\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{-35}{68}\\5x=-y+\frac{-109}{68}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-6}{17})\}\)
7. \(\left\{\begin{matrix}4x+2y=\frac{674}{117}\\-4x-y=\frac{-661}{117}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}4x-5y=\frac{19}{3}\\-x=y+\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-5}{3})\}\)
9. \(\left\{\begin{matrix}2y=7-6x\\-x-4y=\frac{-4}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-1}{10})\}\)
10. \(\left\{\begin{matrix}-2x+6y=\frac{-1652}{221}\\-x-4y=\frac{903}{221}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{-19}{17})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-7}{2}-2x\\-x-2y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-3}{4})\}\)
12. \(\left\{\begin{matrix}4y=\frac{317}{247}+5x\\-x+y=\frac{128}{247}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{17}{13})\}\)