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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-6y=\frac{-1152}{143}\\4x=y+\frac{-511}{143}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{668}{119}\\-2x-y=\frac{-552}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+3y=\frac{-32}{5}\\-x+5y=\frac{-232}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+2y=\frac{-1}{3}\\-x-3y=\frac{73}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-63}{20}+2x\\x+3y=\frac{-73}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+y=\frac{109}{18}\\4x=-6y+\frac{-71}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-324}{95}+6x\\-x-2y=\frac{-233}{190}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+y=\frac{-226}{247}\\-6x+2y=\frac{-224}{247}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-6y=\frac{46}{5}\\2x-y=\frac{-3}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{2}{3}+6x\\x+y=\frac{23}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-921}{221}-5x\\x-6y=\frac{81}{221}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-6y=\frac{-297}{34}\\-x=-y+\frac{249}{136}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-6y=\frac{-1152}{143}\\4x=y+\frac{-511}{143}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{19}{11})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{668}{119}\\-2x-y=\frac{-552}{119}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{16}{7})\}\)
3. \(\left\{\begin{matrix}-3x+3y=\frac{-32}{5}\\-x+5y=\frac{-232}{15}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-10}{3})\}\)
4. \(\left\{\begin{matrix}6x+2y=\frac{-1}{3}\\-x-3y=\frac{73}{18}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-3}{2})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-63}{20}+2x\\x+3y=\frac{-73}{20}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-19}{20})\}\)
6. \(\left\{\begin{matrix}-x+y=\frac{109}{18}\\4x=-6y+\frac{-71}{3}\end{matrix}\right.\qquad V=\{(-6,\frac{1}{18})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-324}{95}+6x\\-x-2y=\frac{-233}{190}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{5}{19})\}\)
8. \(\left\{\begin{matrix}3x+y=\frac{-226}{247}\\-6x+2y=\frac{-224}{247}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{-13}{19})\}\)
9. \(\left\{\begin{matrix}-4x-6y=\frac{46}{5}\\2x-y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},-1)\}\)
10. \(\left\{\begin{matrix}5y=\frac{2}{3}+6x\\x+y=\frac{23}{90}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-921}{221}-5x\\x-6y=\frac{81}{221}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-3}{17})\}\)
12. \(\left\{\begin{matrix}4x-6y=\frac{-297}{34}\\-x=-y+\frac{249}{136}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{12}{17})\}\)