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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{174}{65}\\2x+y=\frac{-141}{130}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-2y=\frac{-992}{221}\\-4x=-y+\frac{836}{221}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{-388}{15}\\6x-y=\frac{268}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{199}{10}+2x\\3x-4y=\frac{-1547}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-23}{15}+3x\\-x+6y=\frac{53}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-6y=\frac{656}{35}\\-x=-y+\frac{-136}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-5y=\frac{437}{60}\\-x=y+\frac{133}{60}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{412}{85}+4x\\5x-y=\frac{-161}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+2y=\frac{-38}{9}\\-x=-y+\frac{59}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-4y=\frac{-274}{7}\\5x=-3y+\frac{479}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-6y=\frac{998}{85}\\x-y=\frac{133}{85}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{159}{20}-x\\2x-4y=\frac{63}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{174}{65}\\2x+y=\frac{-141}{130}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{3}{10})\}\)
2. \(\left\{\begin{matrix}4x-2y=\frac{-992}{221}\\-4x=-y+\frac{836}{221}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{12}{17})\}\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{-388}{15}\\6x-y=\frac{268}{15}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{4}{3})\}\)
4. \(\left\{\begin{matrix}y=\frac{199}{10}+2x\\3x-4y=\frac{-1547}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},19)\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-23}{15}+3x\\-x+6y=\frac{53}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{5}{3})\}\)
6. \(\left\{\begin{matrix}4x-6y=\frac{656}{35}\\-x=-y+\frac{-136}{35}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{-8}{5})\}\)
7. \(\left\{\begin{matrix}-2x-5y=\frac{437}{60}\\-x=y+\frac{133}{60}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-19}{20})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{412}{85}+4x\\5x-y=\frac{-161}{17}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{8}{17})\}\)
9. \(\left\{\begin{matrix}4x+2y=\frac{-38}{9}\\-x=-y+\frac{59}{36}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{7}{18})\}\)
10. \(\left\{\begin{matrix}-x-4y=\frac{-274}{7}\\5x=-3y+\frac{479}{14}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{19}{2})\}\)
11. \(\left\{\begin{matrix}-4x-6y=\frac{998}{85}\\x-y=\frac{133}{85}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-9}{5})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{159}{20}-x\\2x-4y=\frac{63}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-6}{5})\}\)