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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+y=\frac{17}{5}\\3x=-4y+\frac{-8}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+3y=\frac{58}{35}\\x-y=\frac{209}{210}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=-6-6x\\-x-6y=\frac{26}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+3y=-11\\2x=y+\frac{33}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+3y=\frac{18}{5}\\x=-3y+\frac{33}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+3y=\frac{-25}{4}\\x=y+\frac{13}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-953}{304}-5x\\2x+y=\frac{-85}{152}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-625}{133}+5x\\4x-y=\frac{696}{133}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+y=\frac{-13}{165}\\-5x+5y=\frac{-103}{33}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+y=\frac{-11}{6}\\4x=6y+\frac{44}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-2y=\frac{26}{7}\\4x-y=\frac{5}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=-45-4x\\x-2y=-5\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+y=\frac{17}{5}\\3x=-4y+\frac{-8}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}2x+3y=\frac{58}{35}\\x-y=\frac{209}{210}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{-1}{15})\}\)
3. \(\left\{\begin{matrix}2y=-6-6x\\-x-6y=\frac{26}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}5x+3y=-11\\2x=y+\frac{33}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},-5)\}\)
5. \(\left\{\begin{matrix}-4x+3y=\frac{18}{5}\\x=-3y+\frac{33}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},2)\}\)
6. \(\left\{\begin{matrix}-6x+3y=\frac{-25}{4}\\x=y+\frac{13}{12}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{12})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-953}{304}-5x\\2x+y=\frac{-85}{152}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{6}{19})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-625}{133}+5x\\4x-y=\frac{696}{133}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{20}{19})\}\)
9. \(\left\{\begin{matrix}5x+y=\frac{-13}{165}\\-5x+5y=\frac{-103}{33}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{-8}{15})\}\)
10. \(\left\{\begin{matrix}3x+y=\frac{-11}{6}\\4x=6y+\frac{44}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},-1)\}\)
11. \(\left\{\begin{matrix}4x-2y=\frac{26}{7}\\4x-y=\frac{5}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},-3)\}\)
12. \(\left\{\begin{matrix}2y=-45-4x\\x-2y=-5\end{matrix}\right.\qquad V=\{(-10,\frac{-5}{2})\}\)