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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+2y=\frac{-24}{11}\\-4x+y=\frac{185}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{-489}{70}\\-6x+y=\frac{783}{140}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-6y=\frac{59}{5}\\-x-5y=\frac{227}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+6y=\frac{-33}{14}\\2x-4y=\frac{-9}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-6y=\frac{-325}{28}\\x+y=\frac{155}{56}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+5y=3\\-6x=-2y+\frac{38}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=17+5x\\x+6y=0\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{12}{91}\\x+4y=\frac{-569}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-46}{17}\\2x=-y+\frac{-21}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{-134}{3}-2x\\-6x+y=-22\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-52}{3}-x\\-5x+6y=\frac{284}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+6y=\frac{24}{7}\\-6x-y=\frac{46}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+2y=\frac{-24}{11}\\-4x+y=\frac{185}{22}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{-489}{70}\\-6x+y=\frac{783}{140}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{9}{20})\}\)
3. \(\left\{\begin{matrix}-2x-6y=\frac{59}{5}\\-x-5y=\frac{227}{30}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-5}{6})\}\)
4. \(\left\{\begin{matrix}x+6y=\frac{-33}{14}\\2x-4y=\frac{-9}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{-3}{14})\}\)
5. \(\left\{\begin{matrix}2x-6y=\frac{-325}{28}\\x+y=\frac{155}{56}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{15}{7})\}\)
6. \(\left\{\begin{matrix}x+5y=3\\-6x=-2y+\frac{38}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}4y=17+5x\\x+6y=0\end{matrix}\right.\qquad V=\{(-3,\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{12}{91}\\x+4y=\frac{-569}{91}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-18}{13})\}\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-46}{17}\\2x=-y+\frac{-21}{17}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},-1)\}\)
10. \(\left\{\begin{matrix}4y=\frac{-134}{3}-2x\\-6x+y=-22\end{matrix}\right.\qquad V=\{(\frac{5}{3},-12)\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-52}{3}-x\\-5x+6y=\frac{284}{3}\end{matrix}\right.\qquad V=\{(-20,\frac{-8}{9})\}\)
12. \(\left\{\begin{matrix}6x+6y=\frac{24}{7}\\-6x-y=\frac{46}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},2)\}\)