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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-2y=\frac{115}{9}\\x=-y+\frac{-113}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+6y=\frac{-134}{3}\\-x=2y+\frac{53}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+5y=\frac{11}{3}\\-5x-y=\frac{-19}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{381}{38}-4x\\3x+4y=\frac{-534}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{-992}{63}\\x+y=\frac{68}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-4y=\frac{87}{10}\\-x=-4y+\frac{-139}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-5y=\frac{80}{9}\\-2x=y+\frac{-85}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-2y=\frac{721}{24}\\-x+y=\frac{-265}{48}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+3y=\frac{23}{6}\\-x=2y+\frac{-8}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-4y=\frac{-776}{105}\\-6x-y=\frac{447}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-181}{48}-5x\\3x-y=\frac{263}{144}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+6y=\frac{-405}{56}\\x=-y+\frac{-149}{112}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-2y=\frac{115}{9}\\x=-y+\frac{-113}{36}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{1}{9})\}\)
2. \(\left\{\begin{matrix}-2x+6y=\frac{-134}{3}\\-x=2y+\frac{53}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},-8)\}\)
3. \(\left\{\begin{matrix}-3x+5y=\frac{11}{3}\\-5x-y=\frac{-19}{3}\end{matrix}\right.\qquad V=\{(1,\frac{4}{3})\}\)
4. \(\left\{\begin{matrix}-y=\frac{381}{38}-4x\\3x+4y=\frac{-534}{19}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{-15}{2})\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{-992}{63}\\x+y=\frac{68}{63}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-8}{7})\}\)
6. \(\left\{\begin{matrix}-6x-4y=\frac{87}{10}\\-x=-4y+\frac{-139}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-9}{5})\}\)
7. \(\left\{\begin{matrix}5x-5y=\frac{80}{9}\\-2x=y+\frac{-85}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{7}{18})\}\)
8. \(\left\{\begin{matrix}5x-2y=\frac{721}{24}\\-x+y=\frac{-265}{48}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{13}{16})\}\)
9. \(\left\{\begin{matrix}2x+3y=\frac{23}{6}\\-x=2y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{3}{2})\}\)
10. \(\left\{\begin{matrix}2x-4y=\frac{-776}{105}\\-6x-y=\frac{447}{70}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{17}{14})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-181}{48}-5x\\3x-y=\frac{263}{144}\end{matrix}\right.\qquad V=\{(\frac{5}{16},\frac{-8}{9})\}\)
12. \(\left\{\begin{matrix}2x+6y=\frac{-405}{56}\\x=-y+\frac{-149}{112}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{-8}{7})\}\)