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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-93}{13}+5x\\-x-4y=\frac{-69}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{7}{18}\\-5x=y+\frac{167}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=-2-6x\\x-4y=7\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=12\\x=y+\frac{27}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-261}{13}-3x\\x-6y=\frac{1359}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-y=\frac{-128}{65}\\-5x+6y=\frac{34}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+3y=\frac{1}{2}\\5x=-y+\frac{-37}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-y=\frac{113}{180}\\-6x-4y=\frac{-539}{90}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=\frac{21}{10}\\x=4y+\frac{-11}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+3y=\frac{93}{16}\\x=-6y+\frac{81}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{150}{19}+2x\\-x-y=\frac{115}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-23}{10}-6x\\-6x+y=\frac{-37}{60}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-93}{13}+5x\\-x-4y=\frac{-69}{13}\end{matrix}\right.\qquad V=\{(1,\frac{14}{13})\}\)
2. \(\left\{\begin{matrix}-5x+4y=\frac{7}{18}\\-5x=y+\frac{167}{18}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-16}{9})\}\)
3. \(\left\{\begin{matrix}-2y=-2-6x\\x-4y=7\end{matrix}\right.\qquad V=\{(-1,-2)\}\)
4. \(\left\{\begin{matrix}5x-2y=12\\x=y+\frac{27}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-13}{8})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-261}{13}-3x\\x-6y=\frac{1359}{65}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-18}{5})\}\)
6. \(\left\{\begin{matrix}-3x-y=\frac{-128}{65}\\-5x+6y=\frac{34}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{10}{13})\}\)
7. \(\left\{\begin{matrix}6x+3y=\frac{1}{2}\\5x=-y+\frac{-37}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{7}{3})\}\)
8. \(\left\{\begin{matrix}x-y=\frac{113}{180}\\-6x-4y=\frac{-539}{90}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{2}{9})\}\)
9. \(\left\{\begin{matrix}6x+2y=\frac{21}{10}\\x=4y+\frac{-11}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{1}{4})\}\)
10. \(\left\{\begin{matrix}-3x+3y=\frac{93}{16}\\x=-6y+\frac{81}{16}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},1)\}\)
11. \(\left\{\begin{matrix}2y=\frac{150}{19}+2x\\-x-y=\frac{115}{19}\end{matrix}\right.\qquad V=\{(-5,\frac{-20}{19})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-23}{10}-6x\\-6x+y=\frac{-37}{60}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{7}{12})\}\)