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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+5y=\frac{37}{18}\\-x+2y=\frac{13}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{39}{2}\\x=-2y+9\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{47}{102}+x\\3x+4y=\frac{346}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{-11}{3}\\x-y=\frac{-37}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{289}{4}+4x\\-2x+3y=\frac{187}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{1}{17}-x\\-4x-5y=\frac{167}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-4y=-1\\x=4y+\frac{3}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{14}{9}\\-6x-y=9\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=15-2x\\x+4y=30\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{4}{35}+4x\\-x-3y=\frac{-83}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-3y=-10\\-2x+2y=\frac{-100}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{9}{2}-x\\4x+2y=\frac{6}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+5y=\frac{37}{18}\\-x+2y=\frac{13}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{11}{18})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{39}{2}\\x=-2y+9\end{matrix}\right.\qquad V=\{(-2,\frac{11}{2})\}\)
3. \(\left\{\begin{matrix}y=\frac{47}{102}+x\\3x+4y=\frac{346}{51}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{7}{6})\}\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{-11}{3}\\x-y=\frac{-37}{9}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},2)\}\)
5. \(\left\{\begin{matrix}y=\frac{289}{4}+4x\\-2x+3y=\frac{187}{4}\end{matrix}\right.\qquad V=\{(-17,\frac{17}{4})\}\)
6. \(\left\{\begin{matrix}-y=\frac{1}{17}-x\\-4x-5y=\frac{167}{17}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-19}{17})\}\)
7. \(\left\{\begin{matrix}3x-4y=-1\\x=4y+\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-11}{16})\}\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{14}{9}\\-6x-y=9\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}-2y=15-2x\\x+4y=30\end{matrix}\right.\qquad V=\{(12,\frac{9}{2})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{4}{35}+4x\\-x-3y=\frac{-83}{35}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{8}{5})\}\)
11. \(\left\{\begin{matrix}-x-3y=-10\\-2x+2y=\frac{-100}{3}\end{matrix}\right.\qquad V=\{(15,\frac{-5}{3})\}\)
12. \(\left\{\begin{matrix}5y=\frac{9}{2}-x\\4x+2y=\frac{6}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{14}{15})\}\)