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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-46}{15}+3x\\3x-y=\frac{79}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+4y=\frac{-64}{133}\\-4x-4y=\frac{-636}{133}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{92}{19}-5x\\5x-y=\frac{-98}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=4-x\\-3x-5y=4\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+6y=-15\\-6x-y=\frac{-9}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-6y=\frac{25}{3}\\-5x=-y+\frac{-169}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{69}{5}-6x\\-6x-y=\frac{-6}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-3y=\frac{-209}{34}\\5x-2y=\frac{535}{34}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-133}{9}-4x\\x-y=\frac{-128}{45}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-91}{10}+6x\\x-y=\frac{97}{60}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-2y=\frac{-32}{5}\\x-y=\frac{-16}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-13}{6}\\-x-2y=1\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-46}{15}+3x\\3x-y=\frac{79}{15}\end{matrix}\right.\qquad V=\{(2,\frac{11}{15})\}\)
2. \(\left\{\begin{matrix}-x+4y=\frac{-64}{133}\\-4x-4y=\frac{-636}{133}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{1}{7})\}\)
3. \(\left\{\begin{matrix}4y=\frac{92}{19}-5x\\5x-y=\frac{-98}{19}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},2)\}\)
4. \(\left\{\begin{matrix}-y=4-x\\-3x-5y=4\end{matrix}\right.\qquad V=\{(2,-2)\}\)
5. \(\left\{\begin{matrix}-6x+6y=-15\\-6x-y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}-2x-6y=\frac{25}{3}\\-5x=-y+\frac{-169}{18}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-17}{9})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{69}{5}-6x\\-6x-y=\frac{-6}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-9}{5})\}\)
8. \(\left\{\begin{matrix}-x-3y=\frac{-209}{34}\\5x-2y=\frac{535}{34}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{15}{17})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-133}{9}-4x\\x-y=\frac{-128}{45}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{17}{5})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-91}{10}+6x\\x-y=\frac{97}{60}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{-1}{5})\}\)
11. \(\left\{\begin{matrix}2x-2y=\frac{-32}{5}\\x-y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},1)\}\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-13}{6}\\-x-2y=1\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-1}{6})\}\)