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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+6y=\frac{416}{153}\\3x=y+\frac{-127}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{4}{3}+x\\3x-6y=\frac{-23}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-71}{6}\\2x+3y=\frac{-145}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-227}{20}\\-2x+5y=\frac{-87}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{-7}{2}\\x=5y+\frac{107}{36}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{-488}{13}\\4x+y=\frac{322}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+y=\frac{223}{60}\\-5x=3y+\frac{-19}{60}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-4y=\frac{-17}{9}\\x+y=\frac{-43}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{1291}{190}+5x\\-x+3y=\frac{-521}{380}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-6y=\frac{-72}{5}\\-x=6y+\frac{103}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-3y=\frac{-9}{7}\\-5x+6y=\frac{312}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-223}{18}+6x\\-x+3y=\frac{-19}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+6y=\frac{416}{153}\\3x=y+\frac{-127}{51}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{14}{17})\}\)
2. \(\left\{\begin{matrix}4y=\frac{4}{3}+x\\3x-6y=\frac{-23}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{3}{16})\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-71}{6}\\2x+3y=\frac{-145}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{12},-9)\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-227}{20}\\-2x+5y=\frac{-87}{4}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{-19}{20})\}\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{-7}{2}\\x=5y+\frac{107}{36}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-5}{12})\}\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{-488}{13}\\4x+y=\frac{322}{13}\end{matrix}\right.\qquad V=\{(6,\frac{10}{13})\}\)
7. \(\left\{\begin{matrix}5x+y=\frac{223}{60}\\-5x=3y+\frac{-19}{60}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{-17}{10})\}\)
8. \(\left\{\begin{matrix}3x-4y=\frac{-17}{9}\\x+y=\frac{-43}{9}\end{matrix}\right.\qquad V=\{(-3,\frac{-16}{9})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{1291}{190}+5x\\-x+3y=\frac{-521}{380}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{-13}{20})\}\)
10. \(\left\{\begin{matrix}6x-6y=\frac{-72}{5}\\-x=6y+\frac{103}{5}\end{matrix}\right.\qquad V=\{(-5,\frac{-13}{5})\}\)
11. \(\left\{\begin{matrix}-x-3y=\frac{-9}{7}\\-5x+6y=\frac{312}{7}\end{matrix}\right.\qquad V=\{(-6,\frac{17}{7})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-223}{18}+6x\\-x+3y=\frac{-19}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{2}{9})\}\)