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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-y=-22\\-4x+5y=\frac{256}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-2y=\frac{272}{15}\\x=-2y+\frac{-314}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{1}{2}-x\\-5x+5y=\frac{-15}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-6y=\frac{-53}{6}\\x=-3y+\frac{83}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=-1+x\\4x+2y=\frac{58}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-24}{7}-5x\\x-y=\frac{-11}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-662}{21}\\4x+y=\frac{1069}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+3y=\frac{-31}{18}\\4x=-4y+\frac{-26}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{-47}{4}\\x=3y+\frac{1}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-5y=\frac{249}{4}\\x-5y=\frac{81}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+2y=\frac{-580}{119}\\-2x=-y+\frac{-205}{119}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+2y=\frac{-31}{3}\\-6x-6y=41\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-y=-22\\-4x+5y=\frac{256}{5}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},8)\}\)
2. \(\left\{\begin{matrix}2x-2y=\frac{272}{15}\\x=-2y+\frac{-314}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},-10)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{1}{2}-x\\-5x+5y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(1,\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}-3x-6y=\frac{-53}{6}\\x=-3y+\frac{83}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{5}{3})\}\)
5. \(\left\{\begin{matrix}y=-1+x\\4x+2y=\frac{58}{7}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{5}{7})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-24}{7}-5x\\x-y=\frac{-11}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-662}{21}\\4x+y=\frac{1069}{42}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{-17}{14})\}\)
8. \(\left\{\begin{matrix}x+3y=\frac{-31}{18}\\4x=-4y+\frac{-26}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{-47}{4}\\x=3y+\frac{1}{4}\end{matrix}\right.\qquad V=\{(3,\frac{11}{12})\}\)
10. \(\left\{\begin{matrix}4x-5y=\frac{249}{4}\\x-5y=\frac{81}{4}\end{matrix}\right.\qquad V=\{(14,\frac{-5}{4})\}\)
11. \(\left\{\begin{matrix}-6x+2y=\frac{-580}{119}\\-2x=-y+\frac{-205}{119}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-5}{17})\}\)
12. \(\left\{\begin{matrix}x+2y=\frac{-31}{3}\\-6x-6y=41\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-7}{2})\}\)