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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+y=\frac{59}{156}\\-3x+6y=\frac{5}{26}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+5y=-45\\x-y=9\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-27}{7}-6x\\-5x-y=\frac{-67}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{148}{51}\\4x=y+\frac{-182}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{62}{17}\\-x+4y=\frac{184}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{1059}{133}-3x\\x+4y=\frac{-559}{133}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-145}{19}\\4x-y=\frac{85}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+6y=\frac{-1178}{91}\\-x=-y+\frac{-236}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{4}{45}-2x\\5x-3y=\frac{-1}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=-6+x\\-4x-6y=-18\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+4y=\frac{-7}{2}\\-x=-6y+\frac{-59}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+3y=\frac{141}{7}\\-4x=-y+\frac{61}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+y=\frac{59}{156}\\-3x+6y=\frac{5}{26}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{-1}{12})\}\)
2. \(\left\{\begin{matrix}-5x+5y=-45\\x-y=9\end{matrix}\right.\qquad V=\{(7,-2)\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-27}{7}-6x\\-5x-y=\frac{-67}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{16}{7})\}\)
4. \(\left\{\begin{matrix}-4x+2y=\frac{148}{51}\\4x=y+\frac{-182}{51}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{62}{17}\\-x+4y=\frac{184}{51}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{1059}{133}-3x\\x+4y=\frac{-559}{133}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-8}{7})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-145}{19}\\4x-y=\frac{85}{38}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{-7}{2})\}\)
8. \(\left\{\begin{matrix}-4x+6y=\frac{-1178}{91}\\-x=-y+\frac{-236}{91}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-9}{7})\}\)
9. \(\left\{\begin{matrix}-y=\frac{4}{45}-2x\\5x-3y=\frac{-1}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{11}{18})\}\)
10. \(\left\{\begin{matrix}-3y=-6+x\\-4x-6y=-18\end{matrix}\right.\qquad V=\{(3,1)\}\)
11. \(\left\{\begin{matrix}5x+4y=\frac{-7}{2}\\-x=-6y+\frac{-59}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-19}{16})\}\)
12. \(\left\{\begin{matrix}2x+3y=\frac{141}{7}\\-4x=-y+\frac{61}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},7)\}\)