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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+5y=\frac{29}{6}\\4x=y+\frac{11}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-5y=\frac{-141}{38}\\-2x=3y+\frac{-29}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-398}{77}+4x\\-x-5y=\frac{-215}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-13}{15}-6x\\2x-y=\frac{1}{90}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+3y=\frac{-63}{5}\\-3x=-3y+\frac{-54}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-2y=\frac{137}{19}\\-5x-y=\frac{-143}{38}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=-8+6x\\3x+y=4\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=29+x\\-4x+3y=\frac{-11}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-2y=\frac{-24}{19}\\4x=6y+\frac{-56}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-45}{19}-4x\\4x-y=\frac{31}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{125}{14}-4x\\5x+y=\frac{565}{56}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-y=\frac{-899}{180}\\5x-2y=\frac{301}{90}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+5y=\frac{29}{6}\\4x=y+\frac{11}{6}\end{matrix}\right.\qquad V=\{(1,\frac{13}{6})\}\)
2. \(\left\{\begin{matrix}-x-5y=\frac{-141}{38}\\-2x=3y+\frac{-29}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{16}{19})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-398}{77}+4x\\-x-5y=\frac{-215}{77}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{3}{11})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-13}{15}-6x\\2x-y=\frac{1}{90}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-9}{10})\}\)
5. \(\left\{\begin{matrix}-x+3y=\frac{-63}{5}\\-3x=-3y+\frac{-54}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-9}{2})\}\)
6. \(\left\{\begin{matrix}4x-2y=\frac{137}{19}\\-5x-y=\frac{-143}{38}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}-2y=-8+6x\\3x+y=4\end{matrix}\right.\qquad V=\{(1,1)\}\)
8. \(\left\{\begin{matrix}-6y=29+x\\-4x+3y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{-9}{2})\}\)
9. \(\left\{\begin{matrix}x-2y=\frac{-24}{19}\\4x=6y+\frac{-56}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{20}{19})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-45}{19}-4x\\4x-y=\frac{31}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{19},-1)\}\)
11. \(\left\{\begin{matrix}2y=\frac{125}{14}-4x\\5x+y=\frac{565}{56}\end{matrix}\right.\qquad V=\{(\frac{15}{8},\frac{5}{7})\}\)
12. \(\left\{\begin{matrix}-5x-y=\frac{-899}{180}\\5x-2y=\frac{301}{90}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{11}{20})\}\)