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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=-8\\-6x+6y=0\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-3y=\frac{-23}{2}\\-4x=y+\frac{-8}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-225}{14}+6x\\2x-y=\frac{75}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+2y=\frac{-9}{19}\\3x+4y=\frac{-8}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{89}{57}\\2x=3y+\frac{-134}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{-127}{12}\\x+y=\frac{53}{24}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+6y=\frac{267}{35}\\-x-5y=\frac{-254}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{117}{10}\\2x=y+\frac{39}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{1}{6}-3x\\6x-y=\frac{103}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-3y=\frac{-21}{10}\\3x=-6y+\frac{39}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+2y=\frac{534}{5}\\x=y+\frac{-87}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-13}{19}-x\\2x-2y=\frac{-34}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=-8\\-6x+6y=0\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-8}{5})\}\)
2. \(\left\{\begin{matrix}-5x-3y=\frac{-23}{2}\\-4x=y+\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{14}{3})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-225}{14}+6x\\2x-y=\frac{75}{14}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-20}{7})\}\)
4. \(\left\{\begin{matrix}x+2y=\frac{-9}{19}\\3x+4y=\frac{-8}{19}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{89}{57}\\2x=3y+\frac{-134}{57}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{17}{19})\}\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{-127}{12}\\x+y=\frac{53}{24}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{7}{8})\}\)
7. \(\left\{\begin{matrix}3x+6y=\frac{267}{35}\\-x-5y=\frac{-254}{35}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{11}{7})\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{117}{10}\\2x=y+\frac{39}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{20},-2)\}\)
9. \(\left\{\begin{matrix}-6y=\frac{1}{6}-3x\\6x-y=\frac{103}{12}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}-x-3y=\frac{-21}{10}\\3x=-6y+\frac{39}{5}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}-6x+2y=\frac{534}{5}\\x=y+\frac{-87}{5}\end{matrix}\right.\qquad V=\{(-18,\frac{-3}{5})\}\)
12. \(\left\{\begin{matrix}y=\frac{-13}{19}-x\\2x-2y=\frac{-34}{19}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{2}{19})\}\)