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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-417}{154}-x\\-3x+6y=\frac{543}{77}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+3y=\frac{-59}{11}\\-x-6y=\frac{300}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-181}{7}\\-2x-y=\frac{163}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{26}{7}\\2x-6y=\frac{-34}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{-53}{3}\\5x+y=\frac{-40}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{118}{3}-3x\\x-y=\frac{-44}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-6y=\frac{85}{19}\\-2x=y+\frac{17}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=-14+5x\\-3x-3y=\frac{-24}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-299}{34}-6x\\-x-5y=\frac{-247}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+3y=\frac{231}{17}\\x=3y+\frac{-117}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+5y=\frac{-17}{56}\\6x=y+\frac{157}{56}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-2y=\frac{-127}{20}\\x=-y+\frac{4}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-417}{154}-x\\-3x+6y=\frac{543}{77}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{5}{14})\}\)
2. \(\left\{\begin{matrix}-6x+3y=\frac{-59}{11}\\-x-6y=\frac{300}{11}\end{matrix}\right.\qquad V=\{(\frac{-14}{11},\frac{-13}{3})\}\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-181}{7}\\-2x-y=\frac{163}{14}\end{matrix}\right.\qquad V=\{(\frac{-11}{2},\frac{-9}{14})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{26}{7}\\2x-6y=\frac{-34}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{9}{14})\}\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{-53}{3}\\5x+y=\frac{-40}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},5)\}\)
6. \(\left\{\begin{matrix}6y=\frac{118}{3}-3x\\x-y=\frac{-44}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},6)\}\)
7. \(\left\{\begin{matrix}5x-6y=\frac{85}{19}\\-2x=y+\frac{17}{95}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-11}{19})\}\)
8. \(\left\{\begin{matrix}y=-14+5x\\-3x-3y=\frac{-24}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{5},-1)\}\)
9. \(\left\{\begin{matrix}4y=\frac{-299}{34}-6x\\-x-5y=\frac{-247}{68}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{20}{17})\}\)
10. \(\left\{\begin{matrix}5x+3y=\frac{231}{17}\\x=3y+\frac{-117}{17}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{8}{3})\}\)
11. \(\left\{\begin{matrix}-6x+5y=\frac{-17}{56}\\6x=y+\frac{157}{56}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{5}{8})\}\)
12. \(\left\{\begin{matrix}3x-2y=\frac{-127}{20}\\x=-y+\frac{4}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{7}{4})\}\)