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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{247}{84}+x\\-4x-3y=\frac{437}{42}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{403}{42}-6x\\-x+y=\frac{-205}{126}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-58}{39}-x\\4x-4y=\frac{760}{117}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{793}{133}+x\\6x+2y=\frac{-1664}{133}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-188}{19}-6x\\x+y=\frac{-28}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-37}{15}+4x\\2x+y=\frac{101}{90}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-5y=\frac{-67}{3}\\-x=-2y+\frac{34}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-y=\frac{-59}{10}\\5x+4y=\frac{83}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-1016}{187}-4x\\-x-4y=\frac{-670}{187}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{264}{17}\\5x=y+\frac{-248}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{21}{2}+2x\\-x+4y=\frac{79}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{35}{8}\\4x=y+\frac{-17}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{247}{84}+x\\-4x-3y=\frac{437}{42}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-19}{14})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{403}{42}-6x\\-x+y=\frac{-205}{126}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-1}{18})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-58}{39}-x\\4x-4y=\frac{760}{117}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-7}{9})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{793}{133}+x\\6x+2y=\frac{-1664}{133}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-13}{19})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-188}{19}-6x\\x+y=\frac{-28}{19}\end{matrix}\right.\qquad V=\{(-2,\frac{10}{19})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-37}{15}+4x\\2x+y=\frac{101}{90}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{2}{9})\}\)
7. \(\left\{\begin{matrix}2x-5y=\frac{-67}{3}\\-x=-2y+\frac{34}{3}\end{matrix}\right.\qquad V=\{(-12,\frac{-1}{3})\}\)
8. \(\left\{\begin{matrix}-2x-y=\frac{-59}{10}\\5x+4y=\frac{83}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{20},4)\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-1016}{187}-4x\\-x-4y=\frac{-670}{187}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{16}{17})\}\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{264}{17}\\5x=y+\frac{-248}{17}\end{matrix}\right.\qquad V=\{(-3,\frac{-7}{17})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{21}{2}+2x\\-x+4y=\frac{79}{20}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-1}{5})\}\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{35}{8}\\4x=y+\frac{-17}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{5}{8})\}\)