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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{14}{3}-2x\\-5x+4y=\frac{95}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+y=\frac{79}{10}\\-5x=-3y+\frac{107}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-3y=\frac{33}{2}\\3x=y+\frac{-19}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{-68}{7}\\x=-3y+\frac{46}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{22}{3}-5x\\x-2y=-6\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-3}{2}\\-5x-6y=\frac{-13}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-27}{28}-4x\\-x-y=\frac{75}{112}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=7-2x\\5x+4y=-41\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{179}{70}-3x\\5x+3y=\frac{305}{42}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-19}{3}+2x\\-5x-y=-12\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-y=\frac{-32}{7}\\-3x=6y+\frac{-75}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-4y=\frac{-1223}{88}\\5x=y+\frac{-1007}{88}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{14}{3}-2x\\-5x+4y=\frac{95}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{20}{3})\}\)
2. \(\left\{\begin{matrix}-6x+y=\frac{79}{10}\\-5x=-3y+\frac{107}{10}\end{matrix}\right.\qquad V=\{(-1,\frac{19}{10})\}\)
3. \(\left\{\begin{matrix}-6x-3y=\frac{33}{2}\\3x=y+\frac{-19}{2}\end{matrix}\right.\qquad V=\{(-3,\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{-68}{7}\\x=-3y+\frac{46}{7}\end{matrix}\right.\qquad V=\{(4,\frac{6}{7})\}\)
5. \(\left\{\begin{matrix}6y=\frac{22}{3}-5x\\x-2y=-6\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{7}{3})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-3}{2}\\-5x-6y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},-1)\}\)
7. \(\left\{\begin{matrix}2y=\frac{-27}{28}-4x\\-x-y=\frac{75}{112}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{-6}{7})\}\)
8. \(\left\{\begin{matrix}-y=7-2x\\5x+4y=-41\end{matrix}\right.\qquad V=\{(-1,-9)\}\)
9. \(\left\{\begin{matrix}-y=\frac{179}{70}-3x\\5x+3y=\frac{305}{42}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{9}{14})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-19}{3}+2x\\-5x-y=-12\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{1}{3})\}\)
11. \(\left\{\begin{matrix}6x-y=\frac{-32}{7}\\-3x=6y+\frac{-75}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},2)\}\)
12. \(\left\{\begin{matrix}5x-4y=\frac{-1223}{88}\\5x=y+\frac{-1007}{88}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{9}{11})\}\)