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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+4y=\frac{281}{12}\\6x+3y=\frac{25}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{68}{105}+2x\\x+y=\frac{-4}{105}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{51}{20}-2x\\-6x-2y=\frac{-17}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{61}{16}\\6x=-y+\frac{-103}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+5y=13\\-x=-y+7\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-69}{20}-2x\\x+3y=\frac{59}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-253}{28}+2x\\-5x-y=\frac{-69}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{355}{84}\\-x=5y+\frac{551}{84}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{97}{3}+4x\\-3x+y=\frac{59}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-y=\frac{-29}{7}\\-3x+2y=\frac{-31}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{-26}{5}\\-x+2y=\frac{-101}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+3y=\frac{-1}{5}\\4x=-3y+\frac{-17}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+4y=\frac{281}{12}\\6x+3y=\frac{25}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{17}{3})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{68}{105}+2x\\x+y=\frac{-4}{105}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{-4}{7})\}\)
3. \(\left\{\begin{matrix}y=\frac{51}{20}-2x\\-6x-2y=\frac{-17}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{17}{4})\}\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{61}{16}\\6x=-y+\frac{-103}{16}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{16})\}\)
5. \(\left\{\begin{matrix}6x+5y=13\\-x=-y+7\end{matrix}\right.\qquad V=\{(-2,5)\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-69}{20}-2x\\x+3y=\frac{59}{20}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{17}{20})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-253}{28}+2x\\-5x-y=\frac{-69}{28}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{7}{4})\}\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{355}{84}\\-x=5y+\frac{551}{84}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-10}{7})\}\)
9. \(\left\{\begin{matrix}5y=\frac{97}{3}+4x\\-3x+y=\frac{59}{3}\end{matrix}\right.\qquad V=\{(-6,\frac{5}{3})\}\)
10. \(\left\{\begin{matrix}-3x-y=\frac{-29}{7}\\-3x+2y=\frac{-31}{14}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{9}{14})\}\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{-26}{5}\\-x+2y=\frac{-101}{30}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{-5}{6})\}\)
12. \(\left\{\begin{matrix}x+3y=\frac{-1}{5}\\4x=-3y+\frac{-17}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{1}{10})\}\)