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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-3y=\frac{2}{17}\\-3x=y+\frac{-61}{34}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=-15-5x\\-5x+y=1\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+2y=\frac{13}{4}\\-x+y=\frac{-7}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{-311}{63}\\x=-y+\frac{127}{63}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-5}{3}+4x\\3x+y=\frac{17}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+5y=\frac{-107}{16}\\-3x=3y+\frac{3}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-155}{6}-3x\\x+6y=\frac{-460}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{155}{72}+2x\\-3x-5y=\frac{857}{144}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{43}{16}+5x\\x-y=\frac{5}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{25}{12}\\x=3y+\frac{31}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+y=\frac{207}{65}\\6x+6y=\frac{1242}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{44}{15}-4x\\5x+y=\frac{88}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-3y=\frac{2}{17}\\-3x=y+\frac{-61}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{5}{17})\}\)
2. \(\left\{\begin{matrix}3y=-15-5x\\-5x+y=1\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-7}{2})\}\)
3. \(\left\{\begin{matrix}4x+2y=\frac{13}{4}\\-x+y=\frac{-7}{16}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{-311}{63}\\x=-y+\frac{127}{63}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{-5}{9})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-5}{3}+4x\\3x+y=\frac{17}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-1}{18})\}\)
6. \(\left\{\begin{matrix}-x+5y=\frac{-107}{16}\\-3x=3y+\frac{3}{16}\end{matrix}\right.\qquad V=\{(\frac{17}{16},\frac{-9}{8})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-155}{6}-3x\\x+6y=\frac{-460}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-17}{2})\}\)
8. \(\left\{\begin{matrix}-y=\frac{155}{72}+2x\\-3x-5y=\frac{857}{144}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{-7}{9})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{43}{16}+5x\\x-y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-13}{16})\}\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{25}{12}\\x=3y+\frac{31}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-3}{4})\}\)
11. \(\left\{\begin{matrix}x+y=\frac{207}{65}\\6x+6y=\frac{1242}{65}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{9}{5})\}\)
12. \(\left\{\begin{matrix}3y=\frac{44}{15}-4x\\5x+y=\frac{88}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-4}{5})\}\)