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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+4y=\frac{106}{9}\\5x=-y+\frac{58}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{167}{91}+4x\\-3x-y=\frac{-19}{182}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{631}{221}-6x\\6x+6y=\frac{1056}{221}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-145}{18}+2x\\-6x-5y=\frac{-355}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=-68+2x\\x-6y=55\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-5y=\frac{35}{6}\\x=-y+0\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{-245}{234}\\2x=y+\frac{761}{234}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+6y=-27\\-x+y=\frac{1}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-21}{5}+6x\\-3x-y=\frac{-21}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-6y=\frac{-258}{35}\\-x=-y+\frac{93}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{62}{9}+6x\\-4x+6y=\frac{26}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+5y=\frac{253}{21}\\-6x+y=\frac{-587}{105}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+4y=\frac{106}{9}\\5x=-y+\frac{58}{9}\end{matrix}\right.\qquad V=\{(1,\frac{13}{9})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{167}{91}+4x\\-3x-y=\frac{-19}{182}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{-7}{13})\}\)
3. \(\left\{\begin{matrix}y=\frac{631}{221}-6x\\6x+6y=\frac{1056}{221}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{5}{13})\}\)
4. \(\left\{\begin{matrix}y=\frac{-145}{18}+2x\\-6x-5y=\frac{-355}{18}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{-5}{9})\}\)
5. \(\left\{\begin{matrix}6y=-68+2x\\x-6y=55\end{matrix}\right.\qquad V=\{(13,-7)\}\)
6. \(\left\{\begin{matrix}2x-5y=\frac{35}{6}\\x=-y+0\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-5}{6})\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{-245}{234}\\2x=y+\frac{761}{234}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{-17}{18})\}\)
8. \(\left\{\begin{matrix}6x+6y=-27\\-x+y=\frac{1}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-13}{6})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-21}{5}+6x\\-3x-y=\frac{-21}{10}\end{matrix}\right.\qquad V=\{(1,\frac{-9}{10})\}\)
10. \(\left\{\begin{matrix}3x-6y=\frac{-258}{35}\\-x=-y+\frac{93}{35}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-1}{5})\}\)
11. \(\left\{\begin{matrix}-y=\frac{62}{9}+6x\\-4x+6y=\frac{26}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{11}{18})\}\)
12. \(\left\{\begin{matrix}5x+5y=\frac{253}{21}\\-6x+y=\frac{-587}{105}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{19}{15})\}\)