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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+4y=\frac{-239}{15}\\4x=-y+\frac{-257}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+5y=\frac{-185}{8}\\x=3y+\frac{75}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-331}{77}-x\\-3x+6y=\frac{447}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-3y=\frac{31}{2}\\4x=5y+40\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-y=\frac{19}{4}\\-3x-3y=12\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{294}{55}+x\\4x+3y=\frac{-1987}{220}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-63}{2}+6x\\x+3y=\frac{35}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+5y=\frac{-277}{7}\\-x=6y+\frac{-12}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=\frac{213}{10}\\-5x=y+\frac{-251}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{-9}{8}\\-x-3y=\frac{-33}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+2y=\frac{-753}{136}\\x=y+\frac{379}{272}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-88}{21}\\-x=-6y+\frac{-46}{105}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+4y=\frac{-239}{15}\\4x=-y+\frac{-257}{30}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-19}{10})\}\)
2. \(\left\{\begin{matrix}5x+5y=\frac{-185}{8}\\x=3y+\frac{75}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-7}{2})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-331}{77}-x\\-3x+6y=\frac{447}{77}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{13}{11})\}\)
4. \(\left\{\begin{matrix}-x-3y=\frac{31}{2}\\4x=5y+40\end{matrix}\right.\qquad V=\{(\frac{5}{2},-6)\}\)
5. \(\left\{\begin{matrix}-2x-y=\frac{19}{4}\\-3x-3y=12\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-13}{4})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{294}{55}+x\\4x+3y=\frac{-1987}{220}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-19}{20})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-63}{2}+6x\\x+3y=\frac{35}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{7}{4})\}\)
8. \(\left\{\begin{matrix}-6x+5y=\frac{-277}{7}\\-x=6y+\frac{-12}{7}\end{matrix}\right.\qquad V=\{(6,\frac{-5}{7})\}\)
9. \(\left\{\begin{matrix}6x-4y=\frac{213}{10}\\-5x=y+\frac{-251}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{-6}{5})\}\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{-9}{8}\\-x-3y=\frac{-33}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}-6x+2y=\frac{-753}{136}\\x=y+\frac{379}{272}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-12}{17})\}\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-88}{21}\\-x=-6y+\frac{-46}{105}\end{matrix}\right.\qquad V=\{(\frac{13}{15},\frac{1}{14})\}\)