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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+2y=\frac{20}{3}\\2x-6y=\frac{-5}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+y=\frac{17}{72}\\-3x=6y+\frac{-5}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-74}{15}+6x\\-x-2y=\frac{-181}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-17}{19}+x\\6x-2y=\frac{-24}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{805}{68}-5x\\x+5y=\frac{-295}{68}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{523}{156}+x\\-5x+3y=\frac{887}{156}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-284}{117}+x\\4x-5y=\frac{-547}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{27}{20}+4x\\-x-6y=\frac{-621}{80}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{172}{39}\\-2x=-y+\frac{35}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-17}{15}\\6x-2y=\frac{22}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{17}{4}-2x\\x+y=\frac{17}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-791}{57}\\3x+5y=\frac{134}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+2y=\frac{20}{3}\\2x-6y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{19}{12})\}\)
2. \(\left\{\begin{matrix}-x+y=\frac{17}{72}\\-3x=6y+\frac{-5}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{1}{8})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-74}{15}+6x\\-x-2y=\frac{-181}{45}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{12}{5})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-17}{19}+x\\6x-2y=\frac{-24}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{9}{19})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{805}{68}-5x\\x+5y=\frac{-295}{68}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-19}{17})\}\)
6. \(\left\{\begin{matrix}3y=\frac{523}{156}+x\\-5x+3y=\frac{887}{156}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{12}{13})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-284}{117}+x\\4x-5y=\frac{-547}{117}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{11}{13})\}\)
8. \(\left\{\begin{matrix}3y=\frac{27}{20}+4x\\-x-6y=\frac{-621}{80}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{6}{5})\}\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{172}{39}\\-2x=-y+\frac{35}{39}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},\frac{-1}{3})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-17}{15}\\6x-2y=\frac{22}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{1}{6})\}\)
11. \(\left\{\begin{matrix}2y=\frac{17}{4}-2x\\x+y=\frac{17}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{5}{8})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-791}{57}\\3x+5y=\frac{134}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-15}{19})\}\)