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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+2y=\frac{44}{3}\\-x=-y+\frac{-20}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-y=\frac{111}{19}\\4x-3y=\frac{465}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{349}{18}\\-2x=y+\frac{73}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{-148}{15}\\-x-6y=\frac{2}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{21}{2}-5x\\x+4y=\frac{17}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-132}{17}+6x\\5x+y=\frac{42}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-3y=\frac{-447}{209}\\5x=-6y+\frac{1356}{209}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-y=\frac{26}{33}\\3x=-3y+\frac{199}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-3y=\frac{509}{180}\\6x-y=\frac{181}{60}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{-14}{3}\\6x=-y+\frac{41}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+3y=\frac{145}{39}\\2x+6y=\frac{394}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{-108}{5}\\x=y+\frac{22}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+2y=\frac{44}{3}\\-x=-y+\frac{-20}{3}\end{matrix}\right.\qquad V=\{(7,\frac{1}{3})\}\)
2. \(\left\{\begin{matrix}5x-y=\frac{111}{19}\\4x-3y=\frac{465}{19}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},-9)\}\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{349}{18}\\-2x=y+\frac{73}{18}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{13}{9})\}\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{-148}{15}\\-x-6y=\frac{2}{5}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{21}{2}-5x\\x+4y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{1}{6})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-132}{17}+6x\\5x+y=\frac{42}{17}\end{matrix}\right.\qquad V=\{(\frac{5}{17},1)\}\)
7. \(\left\{\begin{matrix}x-3y=\frac{-447}{209}\\5x=-6y+\frac{1356}{209}\end{matrix}\right.\qquad V=\{(\frac{6}{19},\frac{9}{11})\}\)
8. \(\left\{\begin{matrix}4x-y=\frac{26}{33}\\3x=-3y+\frac{199}{11}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{14}{3})\}\)
9. \(\left\{\begin{matrix}4x-3y=\frac{509}{180}\\6x-y=\frac{181}{60}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-7}{20})\}\)
10. \(\left\{\begin{matrix}-3x+2y=\frac{-14}{3}\\6x=-y+\frac{41}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}-x+3y=\frac{145}{39}\\2x+6y=\frac{394}{39}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{19}{13})\}\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{-108}{5}\\x=y+\frac{22}{5}\end{matrix}\right.\qquad V=\{(4,\frac{-2}{5})\}\)