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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{71}{2}+x\\-3x+3y=\frac{-57}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{105}{8}\\-5x+y=\frac{-215}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{53}{15}+3x\\2x-y=\frac{-49}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-72}{5}+5x\\-x-5y=\frac{-5}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-y=\frac{-650}{33}\\3x=6y+\frac{31}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-4y=\frac{47}{9}\\3x=-y+\frac{-32}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-85}{133}-x\\2x+3y=\frac{115}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{100}{7}+2x\\-5x+y=\frac{-58}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+3y=\frac{-33}{5}\\-6x=-y+\frac{-41}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{13}{2}-3x\\-x+5y=\frac{29}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{43}{12}-x\\4x+5y=\frac{27}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+y=\frac{86}{33}\\-6x+3y=\frac{122}{55}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{71}{2}+x\\-3x+3y=\frac{-57}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-9)\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{105}{8}\\-5x+y=\frac{-215}{24}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{-5}{6})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{53}{15}+3x\\2x-y=\frac{-49}{30}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-1}{6})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-72}{5}+5x\\-x-5y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(3,\frac{-1}{10})\}\)
5. \(\left\{\begin{matrix}-5x-y=\frac{-650}{33}\\3x=6y+\frac{31}{11}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{15}{11})\}\)
6. \(\left\{\begin{matrix}-3x-4y=\frac{47}{9}\\3x=-y+\frac{-32}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{9})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-85}{133}-x\\2x+3y=\frac{115}{133}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{3}{7})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{100}{7}+2x\\-5x+y=\frac{-58}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},-4)\}\)
9. \(\left\{\begin{matrix}-6x+3y=\frac{-33}{5}\\-6x=-y+\frac{-41}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}5y=\frac{13}{2}-3x\\-x+5y=\frac{29}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{5}{2})\}\)
11. \(\left\{\begin{matrix}3y=\frac{43}{12}-x\\4x+5y=\frac{27}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{13}{12})\}\)
12. \(\left\{\begin{matrix}5x+y=\frac{86}{33}\\-6x+3y=\frac{122}{55}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{14}{11})\}\)