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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-y=\frac{-97}{14}\\6x=4y+\frac{-164}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=-11+5x\\-x+3y=-7\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{1}{6}+3x\\-6x-y=\frac{-53}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=\frac{-325}{22}\\-x=5y+\frac{689}{22}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+y=\frac{213}{4}\\5x+5y=\frac{185}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-60}{19}+2x\\x-3y=\frac{48}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+y=\frac{-9}{2}\\-2x=2y+1\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=0-6x\\-x+3y=\frac{-35}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-5y=\frac{219}{17}\\3x-y=\frac{105}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{-239}{22}\\-4x-y=\frac{-80}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{346}{65}-6x\\4x-y=\frac{248}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-62}{3}+x\\6x+3y=-11\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-y=\frac{-97}{14}\\6x=4y+\frac{-164}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{13}{2})\}\)
2. \(\left\{\begin{matrix}3y=-11+5x\\-x+3y=-7\end{matrix}\right.\qquad V=\{(1,-2)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{1}{6}+3x\\-6x-y=\frac{-53}{12}\end{matrix}\right.\qquad V=\{(1,\frac{-19}{12})\}\)
4. \(\left\{\begin{matrix}4x+3y=\frac{-325}{22}\\-x=5y+\frac{689}{22}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{-13}{2})\}\)
5. \(\left\{\begin{matrix}5x+y=\frac{213}{4}\\5x+5y=\frac{185}{4}\end{matrix}\right.\qquad V=\{(11,\frac{-7}{4})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-60}{19}+2x\\x-3y=\frac{48}{19}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{-18}{19})\}\)
7. \(\left\{\begin{matrix}-2x+y=\frac{-9}{2}\\-2x=2y+1\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-11}{6})\}\)
8. \(\left\{\begin{matrix}-4y=0-6x\\-x+3y=\frac{-35}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-5}{4})\}\)
9. \(\left\{\begin{matrix}6x-5y=\frac{219}{17}\\3x-y=\frac{105}{17}\end{matrix}\right.\qquad V=\{(2,\frac{-3}{17})\}\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{-239}{22}\\-4x-y=\frac{-80}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{14}{11})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{346}{65}-6x\\4x-y=\frac{248}{65}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{4}{5})\}\)
12. \(\left\{\begin{matrix}y=\frac{-62}{3}+x\\6x+3y=-11\end{matrix}\right.\qquad V=\{(\frac{17}{3},-15)\}\)