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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+2y=\frac{-443}{255}\\-5x=-4y+\frac{-481}{255}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-2y=\frac{-54}{5}\\x=-4y+\frac{56}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-185}{24}-x\\-2x-3y=\frac{15}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-230}{57}+4x\\3x-y=\frac{125}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+y=\frac{29}{9}\\-6x-3y=\frac{-7}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+5y=\frac{7}{4}\\x+2y=\frac{8}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-537}{110}+5x\\4x+6y=\frac{701}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+6y=\frac{1}{5}\\-4x=-5y+\frac{-62}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{55}{3}-x\\3x-3y=\frac{139}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{-220}{171}-3x\\x+5y=\frac{341}{342}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-47}{5}-6x\\-x-2y=\frac{97}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-6y=\frac{345}{7}\\x=-3y+\frac{-381}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+2y=\frac{-443}{255}\\-5x=-4y+\frac{-481}{255}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-17}{15})\}\)
2. \(\left\{\begin{matrix}6x-2y=\frac{-54}{5}\\x=-4y+\frac{56}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},3)\}\)
3. \(\left\{\begin{matrix}5y=\frac{-185}{24}-x\\-2x-3y=\frac{15}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-5}{3})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-230}{57}+4x\\3x-y=\frac{125}{57}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{1}{3})\}\)
5. \(\left\{\begin{matrix}-2x+y=\frac{29}{9}\\-6x-3y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},2)\}\)
6. \(\left\{\begin{matrix}5x+5y=\frac{7}{4}\\x+2y=\frac{8}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{5}{4})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-537}{110}+5x\\4x+6y=\frac{701}{55}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{17}{10})\}\)
8. \(\left\{\begin{matrix}x+6y=\frac{1}{5}\\-4x=-5y+\frac{-62}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{55}{3}-x\\3x-3y=\frac{139}{3}\end{matrix}\right.\qquad V=\{(14,\frac{-13}{9})\}\)
10. \(\left\{\begin{matrix}4y=\frac{-220}{171}-3x\\x+5y=\frac{341}{342}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{7}{18})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-47}{5}-6x\\-x-2y=\frac{97}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-5}{3})\}\)
12. \(\left\{\begin{matrix}-6x-6y=\frac{345}{7}\\x=-3y+\frac{-381}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-19}{2})\}\)