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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+6y=\frac{-208}{15}\\x=-5y+\frac{-121}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-6y=\frac{39}{2}\\3x=y+\frac{-9}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+4y=40\\x=6y+-12\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=\frac{493}{35}\\x=y+\frac{-23}{35}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-3y=\frac{-25}{21}\\-4x=-y+\frac{-71}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-y=\frac{-451}{48}\\-5x=6y+\frac{-353}{24}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+3y=\frac{-25}{2}\\5x=-y+\frac{-49}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+2y=\frac{34}{21}\\6x=-2y+\frac{-152}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{-219}{38}\\x-2y=\frac{-123}{76}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+5y=\frac{155}{12}\\-x=6y+\frac{-77}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-4y=\frac{-752}{105}\\x-6y=\frac{-1688}{105}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-113}{44}+4x\\x-y=\frac{31}{44}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+6y=\frac{-208}{15}\\x=-5y+\frac{-121}{45}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{2}{9})\}\)
2. \(\left\{\begin{matrix}-4x-6y=\frac{39}{2}\\3x=y+\frac{-9}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-9}{4})\}\)
3. \(\left\{\begin{matrix}-6x+4y=40\\x=6y+-12\end{matrix}\right.\qquad V=\{(-6,1)\}\)
4. \(\left\{\begin{matrix}4x+5y=\frac{493}{35}\\x=y+\frac{-23}{35}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{13}{7})\}\)
5. \(\left\{\begin{matrix}-5x-3y=\frac{-25}{21}\\-4x=-y+\frac{-71}{21}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-5}{7})\}\)
6. \(\left\{\begin{matrix}-5x-y=\frac{-451}{48}\\-5x=6y+\frac{-353}{24}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{17}{16})\}\)
7. \(\left\{\begin{matrix}6x+3y=\frac{-25}{2}\\5x=-y+\frac{-49}{6}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-3}{2})\}\)
8. \(\left\{\begin{matrix}-x+2y=\frac{34}{21}\\6x=-2y+\frac{-152}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-6}{7})\}\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{-219}{38}\\x-2y=\frac{-123}{76}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{9}{8})\}\)
10. \(\left\{\begin{matrix}5x+5y=\frac{155}{12}\\-x=6y+\frac{-77}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{10}{3})\}\)
11. \(\left\{\begin{matrix}4x-4y=\frac{-752}{105}\\x-6y=\frac{-1688}{105}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{20}{7})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-113}{44}+4x\\x-y=\frac{31}{44}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{-1}{4})\}\)