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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+6y=\frac{175}{11}\\-3x=-y+\frac{14}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{61}{247}+3x\\5x+y=\frac{-834}{247}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-645}{104}+3x\\5x+y=\frac{503}{104}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+3y=6\\6x+y=26\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-4y=\frac{51}{5}\\x=-y+\frac{21}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-y=\frac{-62}{15}\\-3x=5y+\frac{19}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+5y=\frac{101}{38}\\-x=-5y+\frac{-39}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{-164}{19}\\-3x=-y+\frac{179}{38}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{3}{2}+x\\-5x+4y=\frac{-52}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{89}{9}\\-x=4y+\frac{115}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{197}{4}-x\\4x+5y=-53\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{57}{4}+5x\\x+y=\frac{-15}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+6y=\frac{175}{11}\\-3x=-y+\frac{14}{33}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{7}{3})\}\)
2. \(\left\{\begin{matrix}2y=\frac{61}{247}+3x\\5x+y=\frac{-834}{247}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{-13}{19})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-645}{104}+3x\\5x+y=\frac{503}{104}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{11}{8})\}\)
4. \(\left\{\begin{matrix}2x+3y=6\\6x+y=26\end{matrix}\right.\qquad V=\{(\frac{9}{2},-1)\}\)
5. \(\left\{\begin{matrix}5x-4y=\frac{51}{5}\\x=-y+\frac{21}{5}\end{matrix}\right.\qquad V=\{(3,\frac{6}{5})\}\)
6. \(\left\{\begin{matrix}6x-y=\frac{-62}{15}\\-3x=5y+\frac{19}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{-1}{5})\}\)
7. \(\left\{\begin{matrix}6x+5y=\frac{101}{38}\\-x=-5y+\frac{-39}{38}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{-1}{10})\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{-164}{19}\\-3x=-y+\frac{179}{38}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{-15}{19})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{3}{2}+x\\-5x+4y=\frac{-52}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-11}{14})\}\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{89}{9}\\-x=4y+\frac{115}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},-3)\}\)
11. \(\left\{\begin{matrix}-5y=\frac{197}{4}-x\\4x+5y=-53\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-10)\}\)
12. \(\left\{\begin{matrix}4y=\frac{57}{4}+5x\\x+y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{-1}{2})\}\)