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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-8}{3}+6x\\-x+6y=\frac{-8}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{28}{13}+5x\\-x+6y=\frac{42}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-3y=\frac{-103}{5}\\-6x+y=\frac{101}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=40-x\\-2x+3y=\frac{-7}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{46}{133}\\-x-5y=\frac{-502}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-y=\frac{91}{10}\\-5x+3y=\frac{-47}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=-6+2x\\-2x-y=\frac{2}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{55}{182}+3x\\x+2y=\frac{75}{182}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{355}{38}-x\\-5x+2y=\frac{-1631}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-41}{8}+x\\6x-6y=\frac{-21}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=\frac{416}{35}\\4x=-y+\frac{244}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-141}{11}+4x\\-x+y=\frac{29}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-8}{3}+6x\\-x+6y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}2y=\frac{28}{13}+5x\\-x+6y=\frac{42}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}6x-3y=\frac{-103}{5}\\-6x+y=\frac{101}{5}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{1}{5})\}\)
4. \(\left\{\begin{matrix}-6y=40-x\\-2x+3y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(-11,\frac{-17}{2})\}\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{46}{133}\\-x-5y=\frac{-502}{133}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{10}{19})\}\)
6. \(\left\{\begin{matrix}2x-y=\frac{91}{10}\\-5x+3y=\frac{-47}{2}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}-6y=-6+2x\\-2x-y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{55}{182}+3x\\x+2y=\frac{75}{182}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{5}{13})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{355}{38}-x\\-5x+2y=\frac{-1631}{38}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{-4}{19})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-41}{8}+x\\6x-6y=\frac{-21}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{8},1)\}\)
11. \(\left\{\begin{matrix}6x+4y=\frac{416}{35}\\4x=-y+\frac{244}{35}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{4}{7})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-141}{11}+4x\\-x+y=\frac{29}{33}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{7}{3})\}\)