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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-34}{3}-4x\\-x-3y=\frac{13}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=\frac{172}{5}\\-3x+y=\frac{-79}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+3y=\frac{-2}{3}\\-4x+2y=\frac{-19}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+5y=\frac{151}{12}\\x=4y+\frac{-29}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+4y=\frac{167}{133}\\-6x-y=\frac{58}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-y=\frac{-56}{17}\\-5x=6y+\frac{195}{34}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{21}{55}+x\\2x+5y=\frac{98}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-6y=\frac{424}{11}\\-x=-5y+\frac{-148}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+y=\frac{45}{4}\\-6x-5y=\frac{287}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-53}{15}+2x\\6x-y=\frac{37}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+2y=\frac{-43}{42}\\-6x-4y=\frac{67}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-5}{9}\\x=3y+\frac{-13}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-34}{3}-4x\\-x-3y=\frac{13}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-1)\}\)
2. \(\left\{\begin{matrix}4x-4y=\frac{172}{5}\\-3x+y=\frac{-79}{5}\end{matrix}\right.\qquad V=\{(\frac{18}{5},-5)\}\)
3. \(\left\{\begin{matrix}-x+3y=\frac{-2}{3}\\-4x+2y=\frac{-19}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{18})\}\)
4. \(\left\{\begin{matrix}-2x+5y=\frac{151}{12}\\x=4y+\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{9}{4})\}\)
5. \(\left\{\begin{matrix}3x+4y=\frac{167}{133}\\-6x-y=\frac{58}{133}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{8}{19})\}\)
6. \(\left\{\begin{matrix}2x-y=\frac{-56}{17}\\-5x=6y+\frac{195}{34}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{5}{17})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{21}{55}+x\\2x+5y=\frac{98}{55}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-4}{11})\}\)
8. \(\left\{\begin{matrix}4x-6y=\frac{424}{11}\\-x=-5y+\frac{-148}{11}\end{matrix}\right.\qquad V=\{(8,\frac{-12}{11})\}\)
9. \(\left\{\begin{matrix}-2x+y=\frac{45}{4}\\-6x-5y=\frac{287}{4}\end{matrix}\right.\qquad V=\{(-8,\frac{-19}{4})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-53}{15}+2x\\6x-y=\frac{37}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}-x+2y=\frac{-43}{42}\\-6x-4y=\frac{67}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-7}{12})\}\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-5}{9}\\x=3y+\frac{-13}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{8}{9})\}\)