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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-4y=\frac{-60}{19}\\-x-4y=\frac{-18}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-5y=\frac{11}{4}\\6x+6y=\frac{171}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-6y=\frac{-227}{15}\\-2x=-y+\frac{172}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{-142}{95}\\x=y+\frac{-81}{95}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-3y=\frac{457}{187}\\-x-y=\frac{294}{187}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+3y=\frac{-149}{20}\\-3x=y+\frac{101}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+3y=\frac{89}{12}\\4x+y=\frac{83}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-6y=8\\x-y=\frac{11}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+y=\frac{230}{51}\\3x=3y+\frac{-10}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{-371}{5}\\-5x=y+\frac{58}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+4y=\frac{755}{91}\\-x=y+\frac{-179}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=-10-3x\\x-4y=10\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-4y=\frac{-60}{19}\\-x-4y=\frac{-18}{19}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{1}{19})\}\)
2. \(\left\{\begin{matrix}-x-5y=\frac{11}{4}\\6x+6y=\frac{171}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{-7}{5})\}\)
3. \(\left\{\begin{matrix}6x-6y=\frac{-227}{15}\\-2x=-y+\frac{172}{45}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{11}{9})\}\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{-142}{95}\\x=y+\frac{-81}{95}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{4}{5})\}\)
5. \(\left\{\begin{matrix}2x-3y=\frac{457}{187}\\-x-y=\frac{294}{187}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-19}{17})\}\)
6. \(\left\{\begin{matrix}-5x+3y=\frac{-149}{20}\\-3x=y+\frac{101}{20}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{-17}{5})\}\)
7. \(\left\{\begin{matrix}2x+3y=\frac{89}{12}\\4x+y=\frac{83}{12}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{19}{12})\}\)
8. \(\left\{\begin{matrix}3x-6y=8\\x-y=\frac{11}{6}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{6})\}\)
9. \(\left\{\begin{matrix}3x+y=\frac{230}{51}\\3x=3y+\frac{-10}{51}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{20}{17})\}\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{-371}{5}\\-5x=y+\frac{58}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},-13)\}\)
11. \(\left\{\begin{matrix}5x+4y=\frac{755}{91}\\-x=y+\frac{-179}{91}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{20}{13})\}\)
12. \(\left\{\begin{matrix}3y=-10-3x\\x-4y=10\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-8}{3})\}\)