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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{909}{38}+3x\\3x-y=\frac{-393}{76}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{1}{2}\\-x=y+\frac{19}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{17}{9}+x\\-3x-5y=\frac{-16}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-2y=-10\\x+2y=0\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-106}{7}-4x\\x-6y=\frac{-251}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-1068}{119}\\-x+y=\frac{398}{119}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{35}{3}\\4x=y+\frac{-91}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{34}{5}\\x=4y+\frac{-48}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+6y=\frac{-151}{51}\\-5x+y=\frac{947}{102}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-y=\frac{-116}{153}\\2x-6y=\frac{392}{153}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{-17}{19}\\x=-5y+\frac{-115}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{241}{18}+4x\\x-4y=\frac{34}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{909}{38}+3x\\3x-y=\frac{-393}{76}\end{matrix}\right.\qquad V=\{(\frac{-9}{19},\frac{15}{4})\}\)
2. \(\left\{\begin{matrix}-4x-2y=\frac{1}{2}\\-x=y+\frac{19}{8}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-9}{2})\}\)
3. \(\left\{\begin{matrix}2y=\frac{17}{9}+x\\-3x-5y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{9},1)\}\)
4. \(\left\{\begin{matrix}-6x-2y=-10\\x+2y=0\end{matrix}\right.\qquad V=\{(2,-1)\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-106}{7}-4x\\x-6y=\frac{-251}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{18}{7})\}\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-1068}{119}\\-x+y=\frac{398}{119}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{16}{7})\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{35}{3}\\4x=y+\frac{-91}{12}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{9}{4})\}\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{34}{5}\\x=4y+\frac{-48}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{11}{5})\}\)
9. \(\left\{\begin{matrix}2x+6y=\frac{-151}{51}\\-5x+y=\frac{947}{102}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{2}{17})\}\)
10. \(\left\{\begin{matrix}-5x-y=\frac{-116}{153}\\2x-6y=\frac{392}{153}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-6}{17})\}\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{-17}{19}\\x=-5y+\frac{-115}{19}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},-1)\}\)
12. \(\left\{\begin{matrix}-3y=\frac{241}{18}+4x\\x-4y=\frac{34}{9}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{-3}{2})\}\)