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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+5y=\frac{-451}{65}\\6x+4y=\frac{-184}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-5y=\frac{-190}{39}\\x=5y+\frac{14}{39}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-1213}{136}+5x\\x+4y=\frac{601}{136}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-6y=\frac{-48}{11}\\-2x=-y+\frac{-47}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-5}{2}\\-x=2y+\frac{-15}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-4y=\frac{130}{3}\\-4x-4y=\frac{292}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-45}{4}-5x\\2x-y=\frac{-9}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-3y=\frac{-251}{102}\\x=6y+\frac{43}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-35}{13}-2x\\4x+y=\frac{-25}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-6y=\frac{22}{21}\\-4x=-y+\frac{409}{63}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+3y=\frac{-877}{105}\\-4x=-2y+\frac{-62}{105}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{211}{117}-6x\\x+4y=\frac{-370}{117}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+5y=\frac{-451}{65}\\6x+4y=\frac{-184}{65}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-17}{13})\}\)
2. \(\left\{\begin{matrix}5x-5y=\frac{-190}{39}\\x=5y+\frac{14}{39}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{-1}{3})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-1213}{136}+5x\\x+4y=\frac{601}{136}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{14}{17})\}\)
4. \(\left\{\begin{matrix}-3x-6y=\frac{-48}{11}\\-2x=-y+\frac{-47}{11}\end{matrix}\right.\qquad V=\{(2,\frac{-3}{11})\}\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-5}{2}\\-x=2y+\frac{-15}{2}\end{matrix}\right.\qquad V=\{(1,\frac{13}{4})\}\)
6. \(\left\{\begin{matrix}-x-4y=\frac{130}{3}\\-4x-4y=\frac{292}{3}\end{matrix}\right.\qquad V=\{(-18,\frac{-19}{3})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-45}{4}-5x\\2x-y=\frac{-9}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}4x-3y=\frac{-251}{102}\\x=6y+\frac{43}{51}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{-5}{18})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-35}{13}-2x\\4x+y=\frac{-25}{13}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-5}{13})\}\)
10. \(\left\{\begin{matrix}-4x-6y=\frac{22}{21}\\-4x=-y+\frac{409}{63}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{7}{9})\}\)
11. \(\left\{\begin{matrix}x+3y=\frac{-877}{105}\\-4x=-2y+\frac{-62}{105}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{-17}{7})\}\)
12. \(\left\{\begin{matrix}2y=\frac{211}{117}-6x\\x+4y=\frac{-370}{117}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-17}{18})\}\)