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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{-17}{3}\\-x=5y+\frac{119}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+6y=123\\-x+6y=\frac{239}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+3y=\frac{53}{3}\\-4x+4y=\frac{80}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-2y=\frac{391}{39}\\-3x-y=\frac{-54}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{-129}{40}\\-x+6y=\frac{179}{40}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-100}{19}-4x\\5x-4y=\frac{-173}{38}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+3y=\frac{-31}{10}\\-x+4y=\frac{19}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-6y=\frac{-37}{2}\\x-2y=\frac{-11}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-417}{14}\\-x=-5y+\frac{44}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{2}{3}\\-5x+y=\frac{17}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{13}{5}+3x\\-x+y=\frac{7}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-3}{2}-x\\-4x+4y=\frac{36}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{-17}{3}\\-x=5y+\frac{119}{18}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}6x+6y=123\\-x+6y=\frac{239}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},20)\}\)
3. \(\left\{\begin{matrix}-x+3y=\frac{53}{3}\\-4x+4y=\frac{80}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{11}{2})\}\)
4. \(\left\{\begin{matrix}5x-2y=\frac{391}{39}\\-3x-y=\frac{-54}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-11}{13})\}\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{-129}{40}\\-x+6y=\frac{179}{40}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{13}{16})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-100}{19}-4x\\5x-4y=\frac{-173}{38}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-14}{19})\}\)
7. \(\left\{\begin{matrix}6x+3y=\frac{-31}{10}\\-x+4y=\frac{19}{15}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{1}{6})\}\)
8. \(\left\{\begin{matrix}5x-6y=\frac{-37}{2}\\x-2y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{4})\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-417}{14}\\-x=-5y+\frac{44}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-9}{14})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{2}{3}\\-5x+y=\frac{17}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-1)\}\)
11. \(\left\{\begin{matrix}-3y=\frac{13}{5}+3x\\-x+y=\frac{7}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-1}{5})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-3}{2}-x\\-4x+4y=\frac{36}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-1}{10})\}\)