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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-131}{14}+2x\\x-2y=\frac{-4}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{-92}{5}\\-x=-y+\frac{-46}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{82}{33}+x\\-3x+3y=\frac{-2}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-2y=-2\\x+6y=\frac{-3}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-6y=-1\\-3x-y=\frac{13}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-66}{91}\\x+4y=\frac{-96}{91}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-58}{15}\\x=-y+\frac{11}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-4y=\frac{21}{5}\\x-5y=\frac{171}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-16}{7}\\x=-2y+\frac{44}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{139}{6}+6x\\x-2y=\frac{-109}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+2y=\frac{-47}{21}\\-x-6y=\frac{331}{42}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+6y=3\\x=6y+\frac{21}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-131}{14}+2x\\x-2y=\frac{-4}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{-92}{5}\\-x=-y+\frac{-46}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}3y=\frac{82}{33}+x\\-3x+3y=\frac{-2}{11}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{14}{11})\}\)
4. \(\left\{\begin{matrix}-2x-2y=-2\\x+6y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}-4x-6y=-1\\-3x-y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{6})\}\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-66}{91}\\x+4y=\frac{-96}{91}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{-9}{13})\}\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-58}{15}\\x=-y+\frac{11}{30}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-3}{10})\}\)
8. \(\left\{\begin{matrix}-4x-4y=\frac{21}{5}\\x-5y=\frac{171}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-8}{5})\}\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-16}{7}\\x=-2y+\frac{44}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{20}{7})\}\)
10. \(\left\{\begin{matrix}3y=\frac{139}{6}+6x\\x-2y=\frac{-109}{9}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{11}{2})\}\)
11. \(\left\{\begin{matrix}-2x+2y=\frac{-47}{21}\\-x-6y=\frac{331}{42}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-9}{7})\}\)
12. \(\left\{\begin{matrix}3x+6y=3\\x=6y+\frac{21}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-2}{5})\}\)