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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+4y=\frac{-386}{7}\\x=6y+\frac{-37}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-5y=\frac{122}{3}\\x=4y+\frac{95}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-2025}{209}+3x\\-x-2y=\frac{-675}{209}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{-45}{28}\\-x-4y=\frac{305}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+4y=\frac{23}{20}\\-x=y+\frac{-7}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{33}{7}\\-x=6y+\frac{-81}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{19}{3}+6x\\x+6y=\frac{32}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{46}{7}+6x\\x+2y=\frac{-22}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+2y=-2\\5x+y=-21\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-5y=\frac{463}{60}\\x=y+\frac{83}{60}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{169}{70}\\-x=-y+\frac{79}{210}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-4y=\frac{19}{5}\\-x=3y+\frac{-89}{60}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+4y=\frac{-386}{7}\\x=6y+\frac{-37}{7}\end{matrix}\right.\qquad V=\{(11,\frac{19}{7})\}\)
2. \(\left\{\begin{matrix}-2x-5y=\frac{122}{3}\\x=4y+\frac{95}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-8)\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-2025}{209}+3x\\-x-2y=\frac{-675}{209}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{14}{11})\}\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{-45}{28}\\-x-4y=\frac{305}{28}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-16}{7})\}\)
5. \(\left\{\begin{matrix}5x+4y=\frac{23}{20}\\-x=y+\frac{-7}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{33}{7}\\-x=6y+\frac{-81}{7}\end{matrix}\right.\qquad V=\{(3,\frac{10}{7})\}\)
7. \(\left\{\begin{matrix}5y=\frac{19}{3}+6x\\x+6y=\frac{32}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{7}{15})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{46}{7}+6x\\x+2y=\frac{-22}{35}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{2}{5})\}\)
9. \(\left\{\begin{matrix}2x+2y=-2\\5x+y=-21\end{matrix}\right.\qquad V=\{(-5,4)\}\)
10. \(\left\{\begin{matrix}6x-5y=\frac{463}{60}\\x=y+\frac{83}{60}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-7}{12})\}\)
11. \(\left\{\begin{matrix}-3x+5y=\frac{169}{70}\\-x=-y+\frac{79}{210}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{9}{14})\}\)
12. \(\left\{\begin{matrix}3x-4y=\frac{19}{5}\\-x=3y+\frac{-89}{60}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{1}{20})\}\)