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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+y=\frac{239}{102}\\4x+5y=\frac{-1276}{153}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+6y=\frac{528}{7}\\x+y=\frac{83}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-166}{85}+6x\\-5x+6y=\frac{791}{85}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-y=\frac{-340}{3}\\5x+4y=\frac{-293}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+6y=\frac{87}{2}\\-x+3y=\frac{7}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{6}{5}\\x-3y=\frac{-34}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{46}{5}-6x\\6x-6y=\frac{-31}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-3y=\frac{19}{2}\\-x=3y+2\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-115}{9}+5x\\3x-y=\frac{15}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-3}{4}+6x\\-x-5y=\frac{113}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+5y=\frac{11}{7}\\5x=y+\frac{-124}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-6y=0\\-6x+6y=-42\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+y=\frac{239}{102}\\4x+5y=\frac{-1276}{153}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{-14}{17})\}\)
2. \(\left\{\begin{matrix}4x+6y=\frac{528}{7}\\x+y=\frac{83}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},14)\}\)
3. \(\left\{\begin{matrix}-y=\frac{-166}{85}+6x\\-5x+6y=\frac{791}{85}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{8}{5})\}\)
4. \(\left\{\begin{matrix}6x-y=\frac{-340}{3}\\5x+4y=\frac{-293}{3}\end{matrix}\right.\qquad V=\{(-19,\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}6x+6y=\frac{87}{2}\\-x+3y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(5,\frac{9}{4})\}\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{6}{5}\\x-3y=\frac{-34}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{15},\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}y=\frac{46}{5}-6x\\6x-6y=\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{11}{5})\}\)
8. \(\left\{\begin{matrix}4x-3y=\frac{19}{2}\\-x=3y+2\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-7}{6})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-115}{9}+5x\\3x-y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-5}{6})\}\)
10. \(\left\{\begin{matrix}6y=\frac{-3}{4}+6x\\-x-5y=\frac{113}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-19}{8})\}\)
11. \(\left\{\begin{matrix}4x+5y=\frac{11}{7}\\5x=y+\frac{-124}{7}\end{matrix}\right.\qquad V=\{(-3,\frac{19}{7})\}\)
12. \(\left\{\begin{matrix}-x-6y=0\\-6x+6y=-42\end{matrix}\right.\qquad V=\{(6,-1)\}\)