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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-3y=-95\\6x-y=115\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-22}{3}+2x\\x-4y=-1\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+4y=\frac{-456}{35}\\2x=y+\frac{-138}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=22-4x\\-x+2y=-13\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=\frac{38}{9}\\x=3y+\frac{31}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-4y=\frac{-928}{19}\\x+5y=\frac{1148}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+3y=\frac{-787}{130}\\6x=-4y+\frac{-1101}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+2y=\frac{-14}{5}\\-x=-2y+\frac{-11}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{107}{2}+x\\5x-4y=\frac{43}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-6y=\frac{196}{19}\\-x+2y=\frac{-44}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-41}{5}-6x\\4x+2y=\frac{-46}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{474}{17}+6x\\x+6y=\frac{-189}{34}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-3y=-95\\6x-y=115\end{matrix}\right.\qquad V=\{(20,5)\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-22}{3}+2x\\x-4y=-1\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{2}{3})\}\)
3. \(\left\{\begin{matrix}4x+4y=\frac{-456}{35}\\2x=y+\frac{-138}{35}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-6}{7})\}\)
4. \(\left\{\begin{matrix}-2y=22-4x\\-x+2y=-13\end{matrix}\right.\qquad V=\{(3,-5)\}\)
5. \(\left\{\begin{matrix}5x-2y=\frac{38}{9}\\x=3y+\frac{31}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{9},-1)\}\)
6. \(\left\{\begin{matrix}-2x-4y=\frac{-928}{19}\\x+5y=\frac{1148}{19}\end{matrix}\right.\qquad V=\{(\frac{8}{19},12)\}\)
7. \(\left\{\begin{matrix}x+3y=\frac{-787}{130}\\6x=-4y+\frac{-1101}{65}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-18}{13})\}\)
8. \(\left\{\begin{matrix}2x+2y=\frac{-14}{5}\\-x=-2y+\frac{-11}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-13}{20})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{107}{2}+x\\5x-4y=\frac{43}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-17}{2})\}\)
10. \(\left\{\begin{matrix}-3x-6y=\frac{196}{19}\\-x+2y=\frac{-44}{57}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-20}{19})\}\)
11. \(\left\{\begin{matrix}y=\frac{-41}{5}-6x\\4x+2y=\frac{-46}{15}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{9}{5})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{474}{17}+6x\\x+6y=\frac{-189}{34}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-3}{17})\}\)