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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{52}{3}\\-x=-3y+\frac{14}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+y=\frac{-25}{4}\\4x=6y+\frac{-47}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+4y=\frac{-1682}{133}\\-x=-y+\frac{-278}{133}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=11+4x\\4x+y=\frac{3}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-6y=58\\x=-y+\frac{-7}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-401}{90}\\x=2y+\frac{-323}{90}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+5y=\frac{44}{3}\\-3x=-6y+68\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+2y=\frac{80}{33}\\x+4y=\frac{7}{33}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-151}{15}\\-5x+5y=\frac{-71}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+5y=\frac{47}{36}\\x=-5y+\frac{149}{36}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-3y=-12\\x=-5y+\frac{-4}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-32}{11}-5x\\3x+y=\frac{-21}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{52}{3}\\-x=-3y+\frac{14}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{8}{3})\}\)
2. \(\left\{\begin{matrix}5x+y=\frac{-25}{4}\\4x=6y+\frac{-47}{6}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{5}{12})\}\)
3. \(\left\{\begin{matrix}-6x+4y=\frac{-1682}{133}\\-x=-y+\frac{-278}{133}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{1}{19})\}\)
4. \(\left\{\begin{matrix}-6y=11+4x\\4x+y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{2})\}\)
5. \(\left\{\begin{matrix}5x-6y=58\\x=-y+\frac{-7}{3}\end{matrix}\right.\qquad V=\{(4,\frac{-19}{3})\}\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-401}{90}\\x=2y+\frac{-323}{90}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{8}{5})\}\)
7. \(\left\{\begin{matrix}x+5y=\frac{44}{3}\\-3x=-6y+68\end{matrix}\right.\qquad V=\{(-12,\frac{16}{3})\}\)
8. \(\left\{\begin{matrix}2x+2y=\frac{80}{33}\\x+4y=\frac{7}{33}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-151}{15}\\-5x+5y=\frac{-71}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{16}{15})\}\)
10. \(\left\{\begin{matrix}3x+5y=\frac{47}{36}\\x=-5y+\frac{149}{36}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{10}{9})\}\)
11. \(\left\{\begin{matrix}-3x-3y=-12\\x=-5y+\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{-4}{3})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-32}{11}-5x\\3x+y=\frac{-21}{11}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{9}{11})\}\)