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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-71}{35}-x\\4x+2y=\frac{-221}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-2y=-22\\5x=-y+\frac{107}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+y=\frac{278}{105}\\-3x+4y=\frac{482}{105}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{-257}{9}\\2x+y=\frac{77}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+4y=\frac{73}{3}\\x=y+\frac{-29}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-4y=\frac{249}{28}\\x-5y=\frac{145}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=\frac{1}{2}\\-5x=-3y+7\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+4y=\frac{-44}{15}\\-5x-y=\frac{13}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{-38}{13}\\-x=-y+\frac{-6}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+5y=\frac{127}{34}\\x=y+\frac{197}{170}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-2y=\frac{79}{11}\\6x-3y=\frac{186}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-y=\frac{10}{3}\\-6x-4y=\frac{13}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-71}{35}-x\\4x+2y=\frac{-221}{35}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-3}{10})\}\)
2. \(\left\{\begin{matrix}-3x-2y=-22\\5x=-y+\frac{107}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{17}{4})\}\)
3. \(\left\{\begin{matrix}-6x+y=\frac{278}{105}\\-3x+4y=\frac{482}{105}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{14}{15})\}\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{-257}{9}\\2x+y=\frac{77}{9}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{20}{3})\}\)
5. \(\left\{\begin{matrix}6x+4y=\frac{73}{3}\\x=y+\frac{-29}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{16}{3})\}\)
6. \(\left\{\begin{matrix}-3x-4y=\frac{249}{28}\\x-5y=\frac{145}{28}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-9}{7})\}\)
7. \(\left\{\begin{matrix}-4x-y=\frac{1}{2}\\-5x=-3y+7\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}2x+4y=\frac{-44}{15}\\-5x-y=\frac{13}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{-38}{13}\\-x=-y+\frac{-6}{13}\end{matrix}\right.\qquad V=\{(\frac{-20}{13},-2)\}\)
10. \(\left\{\begin{matrix}4x+5y=\frac{127}{34}\\x=y+\frac{197}{170}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{-1}{10})\}\)
11. \(\left\{\begin{matrix}-x-2y=\frac{79}{11}\\6x-3y=\frac{186}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{11},-4)\}\)
12. \(\left\{\begin{matrix}-3x-y=\frac{10}{3}\\-6x-4y=\frac{13}{3}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{7}{6})\}\)