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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=\frac{-300}{77}\\5x=3y+\frac{289}{154}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-y=\frac{68}{5}\\-6x=2y+\frac{-109}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+2y=\frac{253}{28}\\x-2y=\frac{-113}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+y=\frac{-77}{68}\\-6x=-5y+\frac{649}{34}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+6y=\frac{-849}{52}\\x-2y=\frac{211}{52}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-5y=\frac{189}{40}\\x=y+\frac{57}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-99}{95}-x\\2x+4y=\frac{-84}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{1303}{247}+6x\\-x-2y=\frac{202}{247}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-y=\frac{-3}{2}\\5x=-3y+\frac{19}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-536}{95}-2x\\x+4y=\frac{-1127}{285}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{59}{20}+6x\\-3x+6y=\frac{221}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{22}{7}\\-x-y=\frac{78}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=\frac{-300}{77}\\5x=3y+\frac{289}{154}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-13}{14})\}\)
2. \(\left\{\begin{matrix}4x-y=\frac{68}{5}\\-6x=2y+\frac{-109}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{2}{5})\}\)
3. \(\left\{\begin{matrix}6x+2y=\frac{253}{28}\\x-2y=\frac{-113}{28}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{19}{8})\}\)
4. \(\left\{\begin{matrix}x+y=\frac{-77}{68}\\-6x=-5y+\frac{649}{34}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{19}{17})\}\)
5. \(\left\{\begin{matrix}3x+6y=\frac{-849}{52}\\x-2y=\frac{211}{52}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-19}{8})\}\)
6. \(\left\{\begin{matrix}2x-5y=\frac{189}{40}\\x=y+\frac{57}{40}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-5}{8})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-99}{95}-x\\2x+4y=\frac{-84}{95}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{1303}{247}+6x\\-x-2y=\frac{202}{247}\end{matrix}\right.\qquad V=\{(\frac{-12}{13},\frac{1}{19})\}\)
9. \(\left\{\begin{matrix}-x-y=\frac{-3}{2}\\5x=-3y+\frac{19}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},-1)\}\)
10. \(\left\{\begin{matrix}6y=\frac{-536}{95}-2x\\x+4y=\frac{-1127}{285}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-17}{15})\}\)
11. \(\left\{\begin{matrix}y=\frac{59}{20}+6x\\-3x+6y=\frac{221}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{15},\frac{15}{4})\}\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{22}{7}\\-x-y=\frac{78}{35}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-4}{5})\}\)