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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+3y=\frac{319}{40}\\-x-6y=\frac{-271}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-471}{13}+x\\-5x+4y=\frac{-483}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-3y=\frac{-53}{10}\\x=2y+\frac{-69}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+5y=\frac{257}{26}\\-5x=y+\frac{-173}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-4y=\frac{-244}{19}\\-x=-y+\frac{80}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{615}{68}+4x\\-6x+y=\frac{-365}{136}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-2y=\frac{-100}{19}\\-2x-3y=\frac{-265}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-2y=\frac{37}{14}\\x=-y+\frac{5}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-4y=\frac{79}{12}\\2x=2y+\frac{-5}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+y=\frac{-19}{5}\\-5x-6y=\frac{227}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+5y=\frac{179}{2}\\6x+y=26\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-y=\frac{-37}{15}\\-6x-4y=\frac{-128}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+3y=\frac{319}{40}\\-x-6y=\frac{-271}{20}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{17}{8})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-471}{13}+x\\-5x+4y=\frac{-483}{13}\end{matrix}\right.\qquad V=\{(\frac{3}{13},-9)\}\)
3. \(\left\{\begin{matrix}2x-3y=\frac{-53}{10}\\x=2y+\frac{-69}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{8}{5})\}\)
4. \(\left\{\begin{matrix}6x+5y=\frac{257}{26}\\-5x=y+\frac{-173}{26}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}3x-4y=\frac{-244}{19}\\-x=-y+\frac{80}{19}\end{matrix}\right.\qquad V=\{(-4,\frac{4}{19})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{615}{68}+4x\\-6x+y=\frac{-365}{136}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{-13}{8})\}\)
7. \(\left\{\begin{matrix}x-2y=\frac{-100}{19}\\-2x-3y=\frac{-265}{38}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{5}{2})\}\)
8. \(\left\{\begin{matrix}5x-2y=\frac{37}{14}\\x=-y+\frac{5}{28}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}x-4y=\frac{79}{12}\\2x=2y+\frac{-5}{6}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{-7}{3})\}\)
10. \(\left\{\begin{matrix}-3x+y=\frac{-19}{5}\\-5x-6y=\frac{227}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-14}{5})\}\)
11. \(\left\{\begin{matrix}3x+5y=\frac{179}{2}\\6x+y=26\end{matrix}\right.\qquad V=\{(\frac{3}{2},17)\}\)
12. \(\left\{\begin{matrix}-2x-y=\frac{-37}{15}\\-6x-4y=\frac{-128}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{17}{15})\}\)