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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-6y=\frac{136}{5}\\6x=-y+17\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{161}{8}\\5x-y=\frac{287}{16}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+2y=\frac{-2}{3}\\-x+y=\frac{13}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-4}{11}+x\\6x-5y=\frac{18}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-2y=\frac{-71}{10}\\x+6y=\frac{23}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-4y=\frac{45}{4}\\-x+4y=\frac{19}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=-2+4x\\2x-y=-2\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{-1124}{65}\\x-3y=\frac{703}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-6y=\frac{-752}{65}\\-x+3y=\frac{1037}{195}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+4y=\frac{-15}{4}\\-x=y+\frac{7}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-22}{7}+x\\4x-6y=\frac{-10}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{27}{8}\\6x+6y=\frac{63}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-6y=\frac{136}{5}\\6x=-y+17\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-17}{5})\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{161}{8}\\5x-y=\frac{287}{16}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-7}{16})\}\)
3. \(\left\{\begin{matrix}5x+2y=\frac{-2}{3}\\-x+y=\frac{13}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},3)\}\)
4. \(\left\{\begin{matrix}y=\frac{-4}{11}+x\\6x-5y=\frac{18}{11}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-6}{11})\}\)
5. \(\left\{\begin{matrix}3x-2y=\frac{-71}{10}\\x+6y=\frac{23}{10}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{7}{10})\}\)
6. \(\left\{\begin{matrix}-3x-4y=\frac{45}{4}\\-x+4y=\frac{19}{4}\end{matrix}\right.\qquad V=\{(-4,\frac{3}{16})\}\)
7. \(\left\{\begin{matrix}-4y=-2+4x\\2x-y=-2\end{matrix}\right.\qquad V=\{(\frac{-1}{2},1)\}\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{-1124}{65}\\x-3y=\frac{703}{65}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-17}{5})\}\)
9. \(\left\{\begin{matrix}3x-6y=\frac{-752}{65}\\-x+3y=\frac{1037}{195}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{19}{13})\}\)
10. \(\left\{\begin{matrix}2x+4y=\frac{-15}{4}\\-x=y+\frac{7}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{8},-1)\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-22}{7}+x\\4x-6y=\frac{-10}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},1)\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{27}{8}\\6x+6y=\frac{63}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{8},2)\}\)