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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-2y=\frac{119}{6}\\x=-2y+\frac{7}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-y=\frac{134}{17}\\-3x=6y+\frac{-1029}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-507}{70}-5x\\x+4y=\frac{-134}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-31}{5}\\x+y=\frac{3}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-756}{247}-2x\\-5x-y=\frac{-542}{247}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{1219}{195}+6x\\-6x+5y=\frac{509}{39}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=-85-x\\-6x-2y=34\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-6y=\frac{-111}{13}\\-x-y=\frac{38}{39}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-2y=\frac{20}{51}\\-6x-4y=\frac{256}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-4y=\frac{-497}{260}\\6x-5y=\frac{-829}{130}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-33}{13}-3x\\-5x-4y=\frac{41}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-4y=\frac{917}{220}\\-4x+y=\frac{41}{55}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-2y=\frac{119}{6}\\x=-2y+\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-7}{6})\}\)
2. \(\left\{\begin{matrix}5x-y=\frac{134}{17}\\-3x=6y+\frac{-1029}{85}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{19}{17})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-507}{70}-5x\\x+4y=\frac{-134}{35}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-17}{20})\}\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-31}{5}\\x+y=\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{4}{5})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-756}{247}-2x\\-5x-y=\frac{-542}{247}\end{matrix}\right.\qquad V=\{(\frac{6}{19},\frac{8}{13})\}\)
6. \(\left\{\begin{matrix}-y=\frac{1219}{195}+6x\\-6x+5y=\frac{509}{39}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{17}{15})\}\)
7. \(\left\{\begin{matrix}6y=-85-x\\-6x-2y=34\end{matrix}\right.\qquad V=\{(-1,-14)\}\)
8. \(\left\{\begin{matrix}5x-6y=\frac{-111}{13}\\-x-y=\frac{38}{39}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{1}{3})\}\)
9. \(\left\{\begin{matrix}-x-2y=\frac{20}{51}\\-6x-4y=\frac{256}{51}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{1}{3})\}\)
10. \(\left\{\begin{matrix}-x-4y=\frac{-497}{260}\\6x-5y=\frac{-829}{130}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{8}{13})\}\)
11. \(\left\{\begin{matrix}y=\frac{-33}{13}-3x\\-5x-4y=\frac{41}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{6}{13})\}\)
12. \(\left\{\begin{matrix}3x-4y=\frac{917}{220}\\-4x+y=\frac{41}{55}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{-16}{11})\}\)