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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-149}{7}+x\\5x-5y=\frac{625}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+3y=\frac{381}{380}\\-x-y=\frac{-127}{380}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-y=\frac{-53}{38}\\-5x=-5y+\frac{55}{76}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{17}{2}\\-x-y=\frac{57}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{43}{14}+2x\\6x-5y=\frac{-143}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-12}{17}\\-2x=y+\frac{54}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-2y=\frac{163}{63}\\-3x-y=\frac{-377}{126}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-y=-2\\4x+2y=5\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-71}{35}-2x\\x-6y=\frac{533}{140}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-4y=\frac{11}{17}\\x=-4y+\frac{-73}{34}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{630}{19}+4x\\5x+y=\frac{20}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=7-3x\\-x-y=\frac{-21}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-149}{7}+x\\5x-5y=\frac{625}{7}\end{matrix}\right.\qquad V=\{(19,\frac{8}{7})\}\)
2. \(\left\{\begin{matrix}3x+3y=\frac{381}{380}\\-x-y=\frac{-127}{380}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{-6}{19})\}\)
3. \(\left\{\begin{matrix}6x-y=\frac{-53}{38}\\-5x=-5y+\frac{55}{76}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-2}{19})\}\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{17}{2}\\-x-y=\frac{57}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-14}{5})\}\)
5. \(\left\{\begin{matrix}y=\frac{43}{14}+2x\\6x-5y=\frac{-143}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-12}{17}\\-2x=y+\frac{54}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-20}{17})\}\)
7. \(\left\{\begin{matrix}2x-2y=\frac{163}{63}\\-3x-y=\frac{-377}{126}\end{matrix}\right.\qquad V=\{(\frac{15}{14},\frac{-2}{9})\}\)
8. \(\left\{\begin{matrix}-x-y=-2\\4x+2y=5\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{3}{2})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-71}{35}-2x\\x-6y=\frac{533}{140}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-9}{14})\}\)
10. \(\left\{\begin{matrix}2x-4y=\frac{11}{17}\\x=-4y+\frac{-73}{34}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-7}{17})\}\)
11. \(\left\{\begin{matrix}6y=\frac{630}{19}+4x\\5x+y=\frac{20}{19}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},5)\}\)
12. \(\left\{\begin{matrix}5y=7-3x\\-x-y=\frac{-21}{13}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{14}{13})\}\)