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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-3y=\frac{4}{3}\\x=y+\frac{65}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+5y=\frac{-420}{187}\\3x=y+\frac{150}{187}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-y=\frac{-68}{13}\\5x=3y+\frac{-361}{52}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+4y=34\\-5x-y=-94\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-y=\frac{93}{35}\\3x+4y=\frac{384}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-498}{247}\\-5x+y=\frac{-561}{247}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+2y=\frac{-27}{13}\\-6x+3y=\frac{18}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-4y=\frac{-119}{5}\\-x=-6y+\frac{493}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+y=\frac{31}{18}\\-5x=6y+19\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{16}{3}-4x\\x-3y=\frac{13}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+6y=\frac{1290}{91}\\x=5y+\frac{-607}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+2y=\frac{-7}{78}\\-6x-4y=\frac{63}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-3y=\frac{4}{3}\\x=y+\frac{65}{36}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-11}{9})\}\)
2. \(\left\{\begin{matrix}-5x+5y=\frac{-420}{187}\\3x=y+\frac{150}{187}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{-3}{11})\}\)
3. \(\left\{\begin{matrix}4x-y=\frac{-68}{13}\\5x=3y+\frac{-361}{52}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{3}{13})\}\)
4. \(\left\{\begin{matrix}2x+4y=34\\-5x-y=-94\end{matrix}\right.\qquad V=\{(19,-1)\}\)
5. \(\left\{\begin{matrix}6x-y=\frac{93}{35}\\3x+4y=\frac{384}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{15}{7})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-498}{247}\\-5x+y=\frac{-561}{247}\end{matrix}\right.\qquad V=\{(\frac{6}{19},\frac{-9}{13})\}\)
7. \(\left\{\begin{matrix}-x+2y=\frac{-27}{13}\\-6x+3y=\frac{18}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-20}{13})\}\)
8. \(\left\{\begin{matrix}6x-4y=\frac{-119}{5}\\-x=-6y+\frac{493}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{17}{2})\}\)
9. \(\left\{\begin{matrix}-x+y=\frac{31}{18}\\-5x=6y+19\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-17}{18})\}\)
10. \(\left\{\begin{matrix}6y=\frac{16}{3}-4x\\x-3y=\frac{13}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}-6x+6y=\frac{1290}{91}\\x=5y+\frac{-607}{91}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{14}{13})\}\)
12. \(\left\{\begin{matrix}x+2y=\frac{-7}{78}\\-6x-4y=\frac{63}{13}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{7}{13})\}\)