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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+2y=\frac{83}{20}\\-x=-4y+\frac{57}{40}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{62}{15}+2x\\-x+y=\frac{31}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{8}{7}-2x\\-6x-4y=\frac{81}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{3}{2}\\-x=5y+\frac{-13}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-29}{3}-6x\\2x-3y=\frac{-53}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+y=\frac{-23}{56}\\3x=2y+\frac{-17}{56}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-6y=44\\-x-5y=\frac{32}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{73}{9}+5x\\x+2y=\frac{-67}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-593}{171}-5x\\4x-6y=\frac{574}{57}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-3y=\frac{307}{12}\\x=3y+\frac{115}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{139}{195}-4x\\2x+5y=\frac{1307}{195}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-1158}{91}\\x=5y+\frac{843}{91}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+2y=\frac{83}{20}\\-x=-4y+\frac{57}{40}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}2y=\frac{62}{15}+2x\\-x+y=\frac{31}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{7}{5})\}\)
3. \(\left\{\begin{matrix}-y=\frac{8}{7}-2x\\-6x-4y=\frac{81}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-15}{7})\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{3}{2}\\-x=5y+\frac{-13}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{1}{9})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-29}{3}-6x\\2x-3y=\frac{-53}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},1)\}\)
6. \(\left\{\begin{matrix}-3x+y=\frac{-23}{56}\\3x=2y+\frac{-17}{56}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{5}{7})\}\)
7. \(\left\{\begin{matrix}6x-6y=44\\-x-5y=\frac{32}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{3},-3)\}\)
8. \(\left\{\begin{matrix}4y=\frac{73}{9}+5x\\x+2y=\frac{-67}{18}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}y=\frac{-593}{171}-5x\\4x-6y=\frac{574}{57}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{-17}{9})\}\)
10. \(\left\{\begin{matrix}4x-3y=\frac{307}{12}\\x=3y+\frac{115}{12}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{-17}{12})\}\)
11. \(\left\{\begin{matrix}-y=\frac{139}{195}-4x\\2x+5y=\frac{1307}{195}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{15}{13})\}\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-1158}{91}\\x=5y+\frac{843}{91}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-12}{7})\}\)