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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-5y=\frac{-235}{38}\\-x=-5y+\frac{67}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{17}{2}-3x\\-2x+y=\frac{-7}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-4y=\frac{169}{5}\\-4x+6y=\frac{-251}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{1293}{190}\\x=-3y+\frac{253}{380}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+y=\frac{101}{132}\\-6x=-5y+\frac{119}{22}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{515}{266}+6x\\x+6y=\frac{22}{133}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{52}{19}+2x\\x+4y=\frac{69}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+3y=\frac{-3}{5}\\3x=-2y+\frac{53}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{79}{8}\\x+3y=\frac{-37}{48}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-5y=\frac{501}{14}\\6x=-y+\frac{-141}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+4y=\frac{-1913}{153}\\x=6y+\frac{413}{153}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+y=\frac{-136}{13}\\-3x=4y+\frac{337}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-5y=\frac{-235}{38}\\-x=-5y+\frac{67}{38}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}3y=\frac{17}{2}-3x\\-2x+y=\frac{-7}{6}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{3}{2})\}\)
3. \(\left\{\begin{matrix}x-4y=\frac{169}{5}\\-4x+6y=\frac{-251}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-17}{2})\}\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{1293}{190}\\x=-3y+\frac{253}{380}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{9}{20})\}\)
5. \(\left\{\begin{matrix}-x+y=\frac{101}{132}\\-6x=-5y+\frac{119}{22}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-9}{11})\}\)
6. \(\left\{\begin{matrix}5y=\frac{515}{266}+6x\\x+6y=\frac{22}{133}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{1}{14})\}\)
7. \(\left\{\begin{matrix}3y=\frac{52}{19}+2x\\x+4y=\frac{69}{38}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{11}{19})\}\)
8. \(\left\{\begin{matrix}-x+3y=\frac{-3}{5}\\3x=-2y+\frac{53}{5}\end{matrix}\right.\qquad V=\{(3,\frac{4}{5})\}\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{79}{8}\\x+3y=\frac{-37}{48}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{11}{16})\}\)
10. \(\left\{\begin{matrix}4x-5y=\frac{501}{14}\\6x=-y+\frac{-141}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-15}{2})\}\)
11. \(\left\{\begin{matrix}5x+4y=\frac{-1913}{153}\\x=6y+\frac{413}{153}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{-13}{17})\}\)
12. \(\left\{\begin{matrix}-5x+y=\frac{-136}{13}\\-3x=4y+\frac{337}{13}\end{matrix}\right.\qquad V=\{(\frac{9}{13},-7)\}\)