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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=32\\-6x+y=-21\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-106}{3}-x\\-6x+6y=50\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=0-6x\\6x+y=2\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-y=\frac{-981}{266}\\-4x-3y=\frac{1579}{266}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{1527}{340}\\-x=-y+\frac{509}{340}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+5y=\frac{1039}{187}\\x+6y=\frac{1337}{187}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{31}{15}\\5x=y+\frac{1}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+3y=\frac{-366}{5}\\x-y=\frac{72}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=6-4x\\x-4y=\frac{7}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+y=3\\-6x=-4y+19\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+6y=\frac{45}{8}\\x=4y+\frac{-313}{48}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-23}{3}\\-3x+3y=\frac{71}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=32\\-6x+y=-21\end{matrix}\right.\qquad V=\{(2,-9)\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-106}{3}-x\\-6x+6y=50\end{matrix}\right.\qquad V=\{(\frac{2}{3},9)\}\)
3. \(\left\{\begin{matrix}3y=0-6x\\6x+y=2\end{matrix}\right.\qquad V=\{(\frac{1}{2},-1)\}\)
4. \(\left\{\begin{matrix}5x-y=\frac{-981}{266}\\-4x-3y=\frac{1579}{266}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{-11}{14})\}\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{1527}{340}\\-x=-y+\frac{509}{340}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{11}{17})\}\)
6. \(\left\{\begin{matrix}-6x+5y=\frac{1039}{187}\\x+6y=\frac{1337}{187}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{13}{11})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{31}{15}\\5x=y+\frac{1}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{5}{6})\}\)
8. \(\left\{\begin{matrix}-5x+3y=\frac{-366}{5}\\x-y=\frac{72}{5}\end{matrix}\right.\qquad V=\{(15,\frac{3}{5})\}\)
9. \(\left\{\begin{matrix}-6y=6-4x\\x-4y=\frac{7}{3}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{3})\}\)
10. \(\left\{\begin{matrix}-5x+y=3\\-6x=-4y+19\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{11}{2})\}\)
11. \(\left\{\begin{matrix}2x+6y=\frac{45}{8}\\x=4y+\frac{-313}{48}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{4}{3})\}\)
12. \(\left\{\begin{matrix}-4x-y=\frac{-23}{3}\\-3x+3y=\frac{71}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},11)\}\)