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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=\frac{-185}{51}\\-6x=-y+\frac{86}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=0-4x\\x-2y=\frac{-3}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-14}{15}\\-2x+5y=\frac{38}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-535}{68}-6x\\4x+3y=\frac{-267}{34}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{360}{19}\\x=-5y+\frac{-194}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-39}{4}+6x\\5x+y=\frac{79}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+4y=-20\\x+y=\frac{-14}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{208}{5}-6x\\3x-y=\frac{68}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-4y=-7\\-x=-y+2\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+3y=\frac{453}{19}\\5x-y=\frac{629}{38}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-716}{91}+4x\\-3x+y=\frac{-17}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-28}{45}\\x-4y=\frac{-124}{45}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=\frac{-185}{51}\\-6x=-y+\frac{86}{17}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{1}{17})\}\)
2. \(\left\{\begin{matrix}-4y=0-4x\\x-2y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{3}{2})\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-14}{15}\\-2x+5y=\frac{38}{15}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{13}{15})\}\)
4. \(\left\{\begin{matrix}y=\frac{-535}{68}-6x\\4x+3y=\frac{-267}{34}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-19}{17})\}\)
5. \(\left\{\begin{matrix}-4x+6y=\frac{360}{19}\\x=-5y+\frac{-194}{19}\end{matrix}\right.\qquad V=\{(-6,\frac{-16}{19})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-39}{4}+6x\\5x+y=\frac{79}{8}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-3}{4})\}\)
7. \(\left\{\begin{matrix}6x+4y=-20\\x+y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-4)\}\)
8. \(\left\{\begin{matrix}-6y=\frac{208}{5}-6x\\3x-y=\frac{68}{5}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-18}{5})\}\)
9. \(\left\{\begin{matrix}5x-4y=-7\\-x=-y+2\end{matrix}\right.\qquad V=\{(1,3)\}\)
10. \(\left\{\begin{matrix}6x+3y=\frac{453}{19}\\5x-y=\frac{629}{38}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{18}{19})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-716}{91}+4x\\-3x+y=\frac{-17}{91}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{10}{7})\}\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-28}{45}\\x-4y=\frac{-124}{45}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{4}{5})\}\)