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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+3y=43\\-x+6y=16\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{177}{14}\\2x=-y+\frac{16}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-38}{3}+5x\\x+4y=10\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+y=14\\4x=2y+-12\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-y=\frac{-261}{143}\\-4x=6y+\frac{1138}{143}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{189}{20}-5x\\5x-5y=\frac{51}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-4y=-7\\x=y+\frac{-4}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-1645}{204}-5x\\4x-y=\frac{-248}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+5y=\frac{-73}{15}\\-3x-3y=\frac{17}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-4y=\frac{-403}{80}\\6x-3y=\frac{-33}{40}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+2y=\frac{13}{7}\\x=-y+\frac{-29}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-4y=\frac{-22}{9}\\x=4y+\frac{-17}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+3y=43\\-x+6y=16\end{matrix}\right.\qquad V=\{(-10,1)\}\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{177}{14}\\2x=-y+\frac{16}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{15}{7})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-38}{3}+5x\\x+4y=10\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{7}{3})\}\)
4. \(\left\{\begin{matrix}-5x+y=14\\4x=2y+-12\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}2x-y=\frac{-261}{143}\\-4x=6y+\frac{1138}{143}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{-7}{13})\}\)
6. \(\left\{\begin{matrix}y=\frac{189}{20}-5x\\5x-5y=\frac{51}{4}\end{matrix}\right.\qquad V=\{(2,\frac{-11}{20})\}\)
7. \(\left\{\begin{matrix}-6x-4y=-7\\x=y+\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-1645}{204}-5x\\4x-y=\frac{-248}{51}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{9}{17})\}\)
9. \(\left\{\begin{matrix}x+5y=\frac{-73}{15}\\-3x-3y=\frac{17}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-14}{15})\}\)
10. \(\left\{\begin{matrix}x-4y=\frac{-403}{80}\\6x-3y=\frac{-33}{40}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{7}{5})\}\)
11. \(\left\{\begin{matrix}-4x+2y=\frac{13}{7}\\x=-y+\frac{-29}{14}\end{matrix}\right.\qquad V=\{(-1,\frac{-15}{14})\}\)
12. \(\left\{\begin{matrix}-4x-4y=\frac{-22}{9}\\x=4y+\frac{-17}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{1}{2})\}\)