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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{29}{8}-4x\\5x+y=\frac{39}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{30}{17}+x\\4x+4y=\frac{-16}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+2y=\frac{-81}{19}\\-x+y=\frac{59}{38}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{1202}{39}\\x=5y+\frac{1273}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-348}{65}\\4x=y+\frac{373}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-217}{8}-5x\\-6x+6y=\frac{495}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-223}{38}+4x\\-x-6y=\frac{41}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=27-3x\\x+2y=10\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-3y=\frac{31}{3}\\-x=y+\frac{-5}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{460}{9}\\3x=-y+\frac{16}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-2y=\frac{-5}{21}\\3x=-3y+\frac{17}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-1329}{130}+6x\\x+2y=\frac{863}{260}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{29}{8}-4x\\5x+y=\frac{39}{8}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{8})\}\)
2. \(\left\{\begin{matrix}y=\frac{30}{17}+x\\4x+4y=\frac{-16}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{13}{17})\}\)
3. \(\left\{\begin{matrix}5x+2y=\frac{-81}{19}\\-x+y=\frac{59}{38}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{1202}{39}\\x=5y+\frac{1273}{39}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-20}{3})\}\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-348}{65}\\4x=y+\frac{373}{65}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{-1}{5})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-217}{8}-5x\\-6x+6y=\frac{495}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},19)\}\)
7. \(\left\{\begin{matrix}5y=\frac{-223}{38}+4x\\-x-6y=\frac{41}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}5y=27-3x\\x+2y=10\end{matrix}\right.\qquad V=\{(4,3)\}\)
9. \(\left\{\begin{matrix}3x-3y=\frac{31}{3}\\-x=y+\frac{-5}{9}\end{matrix}\right.\qquad V=\{(2,\frac{-13}{9})\}\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{460}{9}\\3x=-y+\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},9)\}\)
11. \(\left\{\begin{matrix}-x-2y=\frac{-5}{21}\\3x=-3y+\frac{17}{14}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-1}{6})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-1329}{130}+6x\\x+2y=\frac{863}{260}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{18}{13})\}\)