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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{262}{5}+2x\\-x-y=\frac{-69}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{21}{17}\\x=-5y+\frac{-92}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-101}{30}-x\\2x-6y=\frac{-107}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{112}{39}\\-4x-y=\frac{-101}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+4y=\frac{-53}{15}\\x-5y=\frac{-23}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+6y=\frac{50}{209}\\4x+5y=\frac{1245}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=-7-x\\-5x+6y=-4\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+y=\frac{-4}{3}\\-6x-5y=\frac{-8}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-3y=\frac{90}{7}\\4x=y+\frac{137}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-5}{8}+5x\\2x+y=\frac{5}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{79}{15}-6x\\-x+3y=\frac{89}{90}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-41}{20}\\-6x+6y=\frac{87}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{262}{5}+2x\\-x-y=\frac{-69}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{5},10)\}\)
2. \(\left\{\begin{matrix}-3x+2y=\frac{21}{17}\\x=-5y+\frac{-92}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-15}{17})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-101}{30}-x\\2x-6y=\frac{-107}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{11}{3})\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{112}{39}\\-4x-y=\frac{-101}{39}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-1}{13})\}\)
5. \(\left\{\begin{matrix}-5x+4y=\frac{-53}{15}\\x-5y=\frac{-23}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{8}{15})\}\)
6. \(\left\{\begin{matrix}x+6y=\frac{50}{209}\\4x+5y=\frac{1245}{209}\end{matrix}\right.\qquad V=\{(\frac{20}{11},\frac{-5}{19})\}\)
7. \(\left\{\begin{matrix}4y=-7-x\\-5x+6y=-4\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{2})\}\)
8. \(\left\{\begin{matrix}4x+y=\frac{-4}{3}\\-6x-5y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{4}{3})\}\)
9. \(\left\{\begin{matrix}6x-3y=\frac{90}{7}\\4x=y+\frac{137}{14}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{17}{14})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-5}{8}+5x\\2x+y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{3}{4})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{79}{15}-6x\\-x+3y=\frac{89}{90}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{7}{10})\}\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-41}{20}\\-6x+6y=\frac{87}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{7}{10})\}\)