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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-5y=\frac{17}{11}\\-x=5y+\frac{-223}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-5y=\frac{-7}{18}\\-4x-4y=\frac{-118}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+2y=\frac{37}{20}\\4x=y+\frac{461}{120}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{-87}{8}\\x-6y=\frac{-179}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+3y=\frac{1}{6}\\-x+6y=\frac{59}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-64}{5}+2x\\-x-y=\frac{28}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-805}{17}+6x\\4x-4y=\frac{500}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{394}{57}+6x\\5x+y=\frac{-227}{57}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=-21+3x\\4x+6y=-82\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-143}{3}+4x\\4x+y=\frac{139}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=-2+4x\\-4x+y=0\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-197}{22}\\x=y+\frac{-167}{66}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-5y=\frac{17}{11}\\-x=5y+\frac{-223}{55}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{12}{11})\}\)
2. \(\left\{\begin{matrix}x-5y=\frac{-7}{18}\\-4x-4y=\frac{-118}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{11}{18})\}\)
3. \(\left\{\begin{matrix}3x+2y=\frac{37}{20}\\4x=y+\frac{461}{120}\end{matrix}\right.\qquad V=\{(\frac{13}{15},\frac{-3}{8})\}\)
4. \(\left\{\begin{matrix}-6x-3y=\frac{-87}{8}\\x-6y=\frac{-179}{16}\end{matrix}\right.\qquad V=\{(\frac{13}{16},2)\}\)
5. \(\left\{\begin{matrix}2x+3y=\frac{1}{6}\\-x+6y=\frac{59}{12}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-64}{5}+2x\\-x-y=\frac{28}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},-6)\}\)
7. \(\left\{\begin{matrix}y=\frac{-805}{17}+6x\\4x-4y=\frac{500}{17}\end{matrix}\right.\qquad V=\{(8,\frac{11}{17})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{394}{57}+6x\\5x+y=\frac{-227}{57}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{-8}{3})\}\)
9. \(\left\{\begin{matrix}y=-21+3x\\4x+6y=-82\end{matrix}\right.\qquad V=\{(2,-15)\}\)
10. \(\left\{\begin{matrix}6y=\frac{-143}{3}+4x\\4x+y=\frac{139}{6}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{-7}{2})\}\)
11. \(\left\{\begin{matrix}2y=-2+4x\\-4x+y=0\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-2)\}\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-197}{22}\\x=y+\frac{-167}{66}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{7}{6})\}\)