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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-6y=0\\2x-5y=\frac{35}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=-34-6x\\2x-y=-8\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{980}{247}+5x\\-x-5y=\frac{424}{247}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-3y=-20\\2x+3y=19\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-5y=\frac{31}{5}\\2x=5y+\frac{37}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{24}{5}-3x\\x-5y=\frac{-87}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{-706}{57}\\-3x=y+\frac{-184}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-5y=\frac{-229}{28}\\x+6y=\frac{1031}{140}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-4y=\frac{78}{35}\\-4x-4y=\frac{-172}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-3y=\frac{-98}{11}\\x=y+\frac{4}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{276}{5}\\x+y=\frac{43}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-7}{17}\\-x+y=\frac{1}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-6y=0\\2x-5y=\frac{35}{2}\end{matrix}\right.\qquad V=\{(15,\frac{5}{2})\}\)
2. \(\left\{\begin{matrix}-4y=-34-6x\\2x-y=-8\end{matrix}\right.\qquad V=\{(1,10)\}\)
3. \(\left\{\begin{matrix}5y=\frac{980}{247}+5x\\-x-5y=\frac{424}{247}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-2}{13})\}\)
4. \(\left\{\begin{matrix}-x-3y=-20\\2x+3y=19\end{matrix}\right.\qquad V=\{(-1,7)\}\)
5. \(\left\{\begin{matrix}x-5y=\frac{31}{5}\\2x=5y+\frac{37}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},-1)\}\)
6. \(\left\{\begin{matrix}6y=\frac{24}{5}-3x\\x-5y=\frac{-87}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{17}{20})\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{-706}{57}\\-3x=y+\frac{-184}{19}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-6}{19})\}\)
8. \(\left\{\begin{matrix}5x-5y=\frac{-229}{28}\\x+6y=\frac{1031}{140}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{9}{7})\}\)
9. \(\left\{\begin{matrix}x-4y=\frac{78}{35}\\-4x-4y=\frac{-172}{35}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}-2x-3y=\frac{-98}{11}\\x=y+\frac{4}{11}\end{matrix}\right.\qquad V=\{(2,\frac{18}{11})\}\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{276}{5}\\x+y=\frac{43}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},9)\}\)
12. \(\left\{\begin{matrix}4x-3y=\frac{-7}{17}\\-x+y=\frac{1}{51}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{-1}{3})\}\)