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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{74}{9}+x\\2x-4y=\frac{-148}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-3y=17\\-2x=-3y+-31\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-5y=12\\x=y+\frac{24}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{34}{5}-6x\\-4x-y=\frac{-73}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+3y=-49\\5x-5y=95\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-y=\frac{-33}{16}\\-6x-3y=-3\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+3y=\frac{-843}{14}\\-5x-y=\frac{-1315}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{179}{5}\\x-6y=\frac{-121}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+5y=\frac{-994}{17}\\x=-2y+\frac{-395}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-5y=-12\\-x=y+\frac{-11}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-y=\frac{67}{20}\\-3x=3y+\frac{-119}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-y=\frac{20}{21}\\5x+6y=\frac{-359}{42}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{74}{9}+x\\2x-4y=\frac{-148}{9}\end{matrix}\right.\qquad V=\{(-6,\frac{10}{9})\}\)
2. \(\left\{\begin{matrix}x-3y=17\\-2x=-3y+-31\end{matrix}\right.\qquad V=\{(14,-1)\}\)
3. \(\left\{\begin{matrix}2x-5y=12\\x=y+\frac{24}{5}\end{matrix}\right.\qquad V=\{(4,\frac{-4}{5})\}\)
4. \(\left\{\begin{matrix}3y=\frac{34}{5}-6x\\-4x-y=\frac{-73}{15}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{-1}{3})\}\)
5. \(\left\{\begin{matrix}-x+3y=-49\\5x-5y=95\end{matrix}\right.\qquad V=\{(4,-15)\}\)
6. \(\left\{\begin{matrix}-3x-y=\frac{-33}{16}\\-6x-3y=-3\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-9}{8})\}\)
7. \(\left\{\begin{matrix}-3x+3y=\frac{-843}{14}\\-5x-y=\frac{-1315}{14}\end{matrix}\right.\qquad V=\{(19,\frac{-15}{14})\}\)
8. \(\left\{\begin{matrix}-2x-6y=\frac{179}{5}\\x-6y=\frac{-121}{5}\end{matrix}\right.\qquad V=\{(-20,\frac{7}{10})\}\)
9. \(\left\{\begin{matrix}2x+5y=\frac{-994}{17}\\x=-2y+\frac{-395}{17}\end{matrix}\right.\qquad V=\{(\frac{13}{17},-12)\}\)
10. \(\left\{\begin{matrix}-6x-5y=-12\\-x=y+\frac{-11}{5}\end{matrix}\right.\qquad V=\{(1,\frac{6}{5})\}\)
11. \(\left\{\begin{matrix}3x-y=\frac{67}{20}\\-3x=3y+\frac{-119}{20}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{13}{20})\}\)
12. \(\left\{\begin{matrix}2x-y=\frac{20}{21}\\5x+6y=\frac{-359}{42}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-9}{7})\}\)