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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+3y=\frac{-156}{7}\\-x+2y=\frac{-78}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+4y=\frac{308}{9}\\-3x=-y+\frac{-359}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-198}{119}\\-x+5y=\frac{-631}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=12+3x\\3x+y=\frac{-31}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=-15-3x\\6x-3y=25\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-6y=\frac{-614}{19}\\-6x=-4y+\frac{1108}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+4y=\frac{138}{7}\\-x=-4y+\frac{-2}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-5y=\frac{107}{2}\\x+2y=-13\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+4y=\frac{237}{55}\\x-4y=\frac{-403}{165}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{24}{7}+4x\\-x-2y=\frac{12}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+3y=\frac{327}{52}\\x=-3y+\frac{87}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-39}{4}+3x\\-2x+y=\frac{-3}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+3y=\frac{-156}{7}\\-x+2y=\frac{-78}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},-6)\}\)
2. \(\left\{\begin{matrix}6x+4y=\frac{308}{9}\\-3x=-y+\frac{-359}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{-17}{18})\}\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-198}{119}\\-x+5y=\frac{-631}{119}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-19}{17})\}\)
4. \(\left\{\begin{matrix}-6y=12+3x\\3x+y=\frac{-31}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-1}{3})\}\)
5. \(\left\{\begin{matrix}y=-15-3x\\6x-3y=25\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-11)\}\)
6. \(\left\{\begin{matrix}-x-6y=\frac{-614}{19}\\-6x=-4y+\frac{1108}{57}\end{matrix}\right.\qquad V=\{(\frac{6}{19},\frac{16}{3})\}\)
7. \(\left\{\begin{matrix}-6x+4y=\frac{138}{7}\\-x=-4y+\frac{-2}{7}\end{matrix}\right.\qquad V=\{(-4,\frac{-15}{14})\}\)
8. \(\left\{\begin{matrix}-6x-5y=\frac{107}{2}\\x+2y=-13\end{matrix}\right.\qquad V=\{(-6,\frac{-7}{2})\}\)
9. \(\left\{\begin{matrix}3x+4y=\frac{237}{55}\\x-4y=\frac{-403}{165}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{8}{11})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{24}{7}+4x\\-x-2y=\frac{12}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-4}{7})\}\)
11. \(\left\{\begin{matrix}6x+3y=\frac{327}{52}\\x=-3y+\frac{87}{52}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{1}{4})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-39}{4}+3x\\-2x+y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{5}{3})\}\)