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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{439}{45}\\-3x+y=\frac{449}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+y=\frac{22}{7}\\-5x+5y=\frac{155}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-11}{5}+4x\\6x-y=\frac{-1}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+2y=\frac{56}{33}\\-5x=2y+\frac{16}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+4y=\frac{79}{20}\\x=y+\frac{-39}{80}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{53}{2}-2x\\-3x-6y=-42\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+3y=\frac{-1}{5}\\x-y=\frac{26}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-32}{3}-5x\\-2x-4y=\frac{-62}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-2y=\frac{-46}{15}\\5x=-2y+\frac{22}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{69}{7}-5x\\x+6y=\frac{-248}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-y=\frac{-292}{133}\\6x=-6y+\frac{-243}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+3y=\frac{-359}{120}\\x=y+\frac{157}{120}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{439}{45}\\-3x+y=\frac{449}{45}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-2}{9})\}\)
2. \(\left\{\begin{matrix}-6x+y=\frac{22}{7}\\-5x+5y=\frac{155}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{8}{7})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-11}{5}+4x\\6x-y=\frac{-1}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{17}{20})\}\)
4. \(\left\{\begin{matrix}-x+2y=\frac{56}{33}\\-5x=2y+\frac{16}{33}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}6x+4y=\frac{79}{20}\\x=y+\frac{-39}{80}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{11}{16})\}\)
6. \(\left\{\begin{matrix}y=\frac{53}{2}-2x\\-3x-6y=-42\end{matrix}\right.\qquad V=\{(13,\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}3x+3y=\frac{-1}{5}\\x-y=\frac{26}{15}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-9}{10})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-32}{3}-5x\\-2x-4y=\frac{-62}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{17}{3})\}\)
9. \(\left\{\begin{matrix}-x-2y=\frac{-46}{15}\\5x=-2y+\frac{22}{3}\end{matrix}\right.\qquad V=\{(\frac{16}{15},1)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{69}{7}-5x\\x+6y=\frac{-248}{7}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-11}{2})\}\)
11. \(\left\{\begin{matrix}6x-y=\frac{-292}{133}\\6x=-6y+\frac{-243}{133}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{1}{19})\}\)
12. \(\left\{\begin{matrix}-2x+3y=\frac{-359}{120}\\x=y+\frac{157}{120}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{-3}{8})\}\)