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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-6y=-3\\x=-6y+-4\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{-25}{6}\\x=5y+\frac{-17}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-3y=34\\-3x+y=\frac{-21}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-115}{19}+2x\\x+2y=\frac{135}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{28}{15}-x\\-6x+4y=\frac{-41}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-y=\frac{-127}{38}\\2x=-6y+\frac{761}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+4y=\frac{62}{9}\\-4x+y=\frac{38}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-122}{17}-x\\4x-5y=\frac{430}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-5y=\frac{-118}{45}\\-5x=y+\frac{44}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-299}{48}-4x\\x-5y=\frac{19}{48}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+3y=\frac{-123}{11}\\-x-y=\frac{113}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-251}{28}-3x\\3x+2y=\frac{-443}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-6y=-3\\x=-6y+-4\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{-25}{6}\\x=5y+\frac{-17}{18}\end{matrix}\right.\qquad V=\{(1,\frac{7}{18})\}\)
3. \(\left\{\begin{matrix}4x-3y=34\\-3x+y=\frac{-21}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-12)\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-115}{19}+2x\\x+2y=\frac{135}{38}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{10}{19})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{28}{15}-x\\-6x+4y=\frac{-41}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{-3}{20})\}\)
6. \(\left\{\begin{matrix}6x-y=\frac{-127}{38}\\2x=-6y+\frac{761}{19}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{13}{2})\}\)
7. \(\left\{\begin{matrix}-6x+4y=\frac{62}{9}\\-4x+y=\frac{38}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{2}{9})\}\)
8. \(\left\{\begin{matrix}y=\frac{-122}{17}-x\\4x-5y=\frac{430}{17}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},-6)\}\)
9. \(\left\{\begin{matrix}4x-5y=\frac{-118}{45}\\-5x=y+\frac{44}{9}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{-2}{9})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-299}{48}-4x\\x-5y=\frac{19}{48}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-5}{16})\}\)
11. \(\left\{\begin{matrix}2x+3y=\frac{-123}{11}\\-x-y=\frac{113}{33}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-13}{3})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-251}{28}-3x\\3x+2y=\frac{-443}{28}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-16}{7})\}\)