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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-y=\frac{-175}{4}\\2x=-2y+\frac{-29}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{101}{15}-4x\\-5x+3y=\frac{-163}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{131}{45}+2x\\5x+y=\frac{-127}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+2y=\frac{25}{42}\\-x=-y+\frac{-55}{42}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-98}{13}-3x\\-3x+y=\frac{263}{78}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+4y=\frac{7}{3}\\-5x=y+\frac{-14}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+6y=-14\\-x-y=\frac{29}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{97}{28}-3x\\6x+y=\frac{8}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-191}{42}-2x\\x+3y=\frac{-115}{28}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{97}{6}+5x\\x+6y=\frac{20}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{117}{28}-3x\\6x+y=\frac{37}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-201}{182}-2x\\-2x-y=\frac{45}{182}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-y=\frac{-175}{4}\\2x=-2y+\frac{-29}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{5}{4})\}\)
2. \(\left\{\begin{matrix}-y=\frac{101}{15}-4x\\-5x+3y=\frac{-163}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-7}{5})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{131}{45}+2x\\5x+y=\frac{-127}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-1}{18})\}\)
4. \(\left\{\begin{matrix}3x+2y=\frac{25}{42}\\-x=-y+\frac{-55}{42}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-98}{13}-3x\\-3x+y=\frac{263}{78}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{5}{6})\}\)
6. \(\left\{\begin{matrix}6x+4y=\frac{7}{3}\\-5x=y+\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-7}{6})\}\)
7. \(\left\{\begin{matrix}2x+6y=-14\\-x-y=\frac{29}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-17}{9})\}\)
8. \(\left\{\begin{matrix}5y=\frac{97}{28}-3x\\6x+y=\frac{8}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{9}{14})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-191}{42}-2x\\x+3y=\frac{-115}{28}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{-11}{12})\}\)
10. \(\left\{\begin{matrix}3y=\frac{97}{6}+5x\\x+6y=\frac{20}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}3y=\frac{117}{28}-3x\\6x+y=\frac{37}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{8}{7})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-201}{182}-2x\\-2x-y=\frac{45}{182}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{3}{14})\}\)