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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{99}{4}+6x\\x+5y=\frac{-101}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{232}{55}-6x\\-3x-5y=\frac{353}{110}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-35}{2}-x\\4x-5y=\frac{-157}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+y=\frac{-19}{9}\\-4x=5y+\frac{8}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=5-x\\-5x+6y=-1\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=-34-2x\\-4x-y=-32\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-72}{17}-2x\\-2x+y=\frac{21}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+4y=-2\\-x=5y+-36\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-9}{2}\\-x+2y=\frac{-67}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+6y=\frac{-69}{19}\\-6x=y+\frac{59}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{-3}{8}\\6x=-y+\frac{31}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=\frac{20}{3}\\-5x=-y+\frac{-1}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{99}{4}+6x\\x+5y=\frac{-101}{8}\end{matrix}\right.\qquad V=\{(-2,\frac{-17}{8})\}\)
2. \(\left\{\begin{matrix}y=\frac{232}{55}-6x\\-3x-5y=\frac{353}{110}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-13}{11})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-35}{2}-x\\4x-5y=\frac{-157}{2}\end{matrix}\right.\qquad V=\{(-19,\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-5x+y=\frac{-19}{9}\\-4x=5y+\frac{8}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-4}{9})\}\)
5. \(\left\{\begin{matrix}-6y=5-x\\-5x+6y=-1\end{matrix}\right.\qquad V=\{(-1,-1)\}\)
6. \(\left\{\begin{matrix}3y=-34-2x\\-4x-y=-32\end{matrix}\right.\qquad V=\{(13,-20)\}\)
7. \(\left\{\begin{matrix}2y=\frac{-72}{17}-2x\\-2x+y=\frac{21}{17}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},-1)\}\)
8. \(\left\{\begin{matrix}3x+4y=-2\\-x=5y+-36\end{matrix}\right.\qquad V=\{(-14,10)\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-9}{2}\\-x+2y=\frac{-67}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-19}{4})\}\)
10. \(\left\{\begin{matrix}6x+6y=\frac{-69}{19}\\-6x=y+\frac{59}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-2}{19})\}\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{-3}{8}\\6x=-y+\frac{31}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{8},1)\}\)
12. \(\left\{\begin{matrix}4x-4y=\frac{20}{3}\\-5x=-y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-2)\}\)