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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-6y=\frac{-333}{10}\\x-3y=\frac{-333}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-3y=\frac{19}{3}\\-x=4y+\frac{-59}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-y=\frac{505}{204}\\5x=5y+\frac{1625}{204}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{569}{80}-5x\\x-y=\frac{133}{80}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{506}{5}\\-3x-y=\frac{-121}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{583}{152}\\-x=-3y+\frac{85}{304}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{41}{4}-5x\\3x-6y=\frac{-15}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+4y=\frac{-44}{13}\\2x=4y+\frac{-10}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{685}{133}+5x\\-x+2y=\frac{179}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{73}{38}\\-x-6y=\frac{-29}{38}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-7}{11}\\-2x=-4y+\frac{-42}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-6y=\frac{-23}{4}\\x-4y=\frac{79}{24}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-6y=\frac{-333}{10}\\x-3y=\frac{-333}{20}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{19}{4})\}\)
2. \(\left\{\begin{matrix}3x-3y=\frac{19}{3}\\-x=4y+\frac{-59}{9}\end{matrix}\right.\qquad V=\{(3,\frac{8}{9})\}\)
3. \(\left\{\begin{matrix}6x-y=\frac{505}{204}\\5x=5y+\frac{1625}{204}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{-17}{12})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{569}{80}-5x\\x-y=\frac{133}{80}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-3}{5})\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{506}{5}\\-3x-y=\frac{-121}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},16)\}\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{583}{152}\\-x=-3y+\frac{85}{304}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{-3}{16})\}\)
7. \(\left\{\begin{matrix}y=\frac{41}{4}-5x\\3x-6y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}x+4y=\frac{-44}{13}\\2x=4y+\frac{-10}{13}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}5y=\frac{685}{133}+5x\\-x+2y=\frac{179}{133}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{6}{19})\}\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{73}{38}\\-x-6y=\frac{-29}{38}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{4}{19})\}\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-7}{11}\\-2x=-4y+\frac{-42}{11}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{-7}{11})\}\)
12. \(\left\{\begin{matrix}6x-6y=\frac{-23}{4}\\x-4y=\frac{79}{24}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-17}{12})\}\)