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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{214}{105}-4x\\2x-5y=\frac{1322}{105}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-153}{22}-6x\\-5x+y=\frac{447}{44}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-99}{5}+2x\\x+5y=\frac{189}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-4y=\frac{-22}{13}\\x-3y=\frac{19}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+y=\frac{-13}{28}\\3x-2y=\frac{-71}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{58}{7}+4x\\-6x+y=\frac{47}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=-17-x\\6x-5y=-4\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{28}{9}\\3x=y+\frac{-97}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+6y=\frac{27}{2}\\-3x=-y+\frac{13}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{942}{209}\\-x+4y=\frac{-401}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+2y=0\\-x=y+\frac{9}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+y=\frac{73}{57}\\-2x=-6y+\frac{-170}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{214}{105}-4x\\2x-5y=\frac{1322}{105}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{-18}{7})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-153}{22}-6x\\-5x+y=\frac{447}{44}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-12}{11})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-99}{5}+2x\\x+5y=\frac{189}{10}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{9}{2})\}\)
4. \(\left\{\begin{matrix}-4x-4y=\frac{-22}{13}\\x-3y=\frac{19}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{13})\}\)
5. \(\left\{\begin{matrix}2x+y=\frac{-13}{28}\\3x-2y=\frac{-71}{14}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{5}{4})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{58}{7}+4x\\-6x+y=\frac{47}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{-10}{7})\}\)
7. \(\left\{\begin{matrix}5y=-17-x\\6x-5y=-4\end{matrix}\right.\qquad V=\{(-3,\frac{-14}{5})\}\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{28}{9}\\3x=y+\frac{-97}{45}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-13}{9})\}\)
9. \(\left\{\begin{matrix}-6x+6y=\frac{27}{2}\\-3x=-y+\frac{13}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{7}{4})\}\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{942}{209}\\-x+4y=\frac{-401}{209}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{-13}{19})\}\)
11. \(\left\{\begin{matrix}-2x+2y=0\\-x=y+\frac{9}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-9}{8})\}\)
12. \(\left\{\begin{matrix}x+y=\frac{73}{57}\\-2x=-6y+\frac{-170}{57}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-1}{19})\}\)