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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-y=\frac{26}{3}\\6x-3y=\frac{68}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-y=\frac{211}{14}\\3x=-2y+\frac{62}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+y=\frac{355}{39}\\-5x+2y=\frac{-473}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+5y=\frac{215}{209}\\x+2y=\frac{119}{209}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-5y=-55\\3x+y=17\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-379}{24}\\-4x+y=\frac{5}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{-101}{42}\\-x=2y+\frac{115}{126}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{34}{5}+4x\\x-y=\frac{-1}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-113}{4}+x\\-4x+4y=19\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-4y=-20\\-x=-y+0\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{488}{105}-x\\5x+4y=\frac{8}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-3y=\frac{27}{10}\\2x+3y=\frac{-18}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-y=\frac{26}{3}\\6x-3y=\frac{68}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-16}{3})\}\)
2. \(\left\{\begin{matrix}5x-y=\frac{211}{14}\\3x=-2y+\frac{62}{7}\end{matrix}\right.\qquad V=\{(3,\frac{-1}{14})\}\)
3. \(\left\{\begin{matrix}4x+y=\frac{355}{39}\\-5x+2y=\frac{-473}{39}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-3}{13})\}\)
4. \(\left\{\begin{matrix}5x+5y=\frac{215}{209}\\x+2y=\frac{119}{209}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{4}{11})\}\)
5. \(\left\{\begin{matrix}3x-5y=-55\\3x+y=17\end{matrix}\right.\qquad V=\{(\frac{5}{3},12)\}\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-379}{24}\\-4x+y=\frac{5}{12}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{-7}{3})\}\)
7. \(\left\{\begin{matrix}-3x+6y=\frac{-101}{42}\\-x=2y+\frac{115}{126}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{-3}{7})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{34}{5}+4x\\x-y=\frac{-1}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-3}{5})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-113}{4}+x\\-4x+4y=19\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{11}{2})\}\)
10. \(\left\{\begin{matrix}-6x-4y=-20\\-x=-y+0\end{matrix}\right.\qquad V=\{(2,2)\}\)
11. \(\left\{\begin{matrix}4y=\frac{488}{105}-x\\5x+4y=\frac{8}{21}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{10}{7})\}\)
12. \(\left\{\begin{matrix}-x-3y=\frac{27}{10}\\2x+3y=\frac{-18}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-3}{5})\}\)