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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=4+5x\\-6x+y=11\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-125}{34}\\5x=6y+\frac{39}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-6y=\frac{-1450}{91}\\-6x=-y+\frac{615}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{95}{7}+5x\\4x+y=\frac{-43}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-2y=\frac{83}{15}\\6x+y=\frac{16}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{2012}{133}\\5x=-y+\frac{746}{133}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-13}{6}+2x\\-6x+4y=\frac{-25}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{5}{2}-2x\\3x+4y=\frac{5}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{29}{5}+x\\2x-3y=\frac{-46}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-4y=\frac{-183}{38}\\-3x-4y=\frac{197}{38}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{122}{7}+6x\\-3x-y=\frac{5}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-185}{26}-5x\\-4x-y=\frac{109}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=4+5x\\-6x+y=11\end{matrix}\right.\qquad V=\{(-2,-1)\}\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-125}{34}\\5x=6y+\frac{39}{17}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}4x-6y=\frac{-1450}{91}\\-6x=-y+\frac{615}{91}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{15}{7})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{95}{7}+5x\\4x+y=\frac{-43}{7}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-11}{7})\}\)
5. \(\left\{\begin{matrix}6x-2y=\frac{83}{15}\\6x+y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-1}{15})\}\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{2012}{133}\\5x=-y+\frac{746}{133}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{19}{7})\}\)
7. \(\left\{\begin{matrix}y=\frac{-13}{6}+2x\\-6x+4y=\frac{-25}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-11}{6})\}\)
8. \(\left\{\begin{matrix}y=\frac{5}{2}-2x\\3x+4y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},-1)\}\)
9. \(\left\{\begin{matrix}2y=\frac{29}{5}+x\\2x-3y=\frac{-46}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{12}{5})\}\)
10. \(\left\{\begin{matrix}x-4y=\frac{-183}{38}\\-3x-4y=\frac{197}{38}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{11}{19})\}\)
11. \(\left\{\begin{matrix}5y=\frac{122}{7}+6x\\-3x-y=\frac{5}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{16}{7})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-185}{26}-5x\\-4x-y=\frac{109}{26}\end{matrix}\right.\qquad V=\{(\frac{-12}{13},\frac{-1}{2})\}\)