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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-417}{44}-5x\\-4x-y=\frac{73}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-y=\frac{34}{33}\\5x=-6y+\frac{653}{99}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{128}{133}+2x\\x+3y=\frac{286}{133}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+5y=\frac{-245}{11}\\x=y+\frac{60}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+5y=\frac{143}{21}\\-3x+2y=\frac{47}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-2}{11}\\-5x+y=\frac{-45}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-295}{208}-x\\3x-5y=\frac{-661}{208}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{101}{10}\\2x=y+\frac{13}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-190}{7}\\-x=-4y+\frac{-310}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{57}{11}\\-x-2y=2\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{9}{2}\\-x+y=\frac{3}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{1532}{323}+5x\\-x-y=\frac{-156}{323}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-417}{44}-5x\\-4x-y=\frac{73}{11}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{4}{11})\}\)
2. \(\left\{\begin{matrix}3x-y=\frac{34}{33}\\5x=-6y+\frac{653}{99}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{7}{11})\}\)
3. \(\left\{\begin{matrix}4y=\frac{128}{133}+2x\\x+3y=\frac{286}{133}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{10}{19})\}\)
4. \(\left\{\begin{matrix}6x+5y=\frac{-245}{11}\\x=y+\frac{60}{11}\end{matrix}\right.\qquad V=\{(\frac{5}{11},-5)\}\)
5. \(\left\{\begin{matrix}x+5y=\frac{143}{21}\\-3x+2y=\frac{47}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{4}{3})\}\)
6. \(\left\{\begin{matrix}-2x+2y=\frac{-2}{11}\\-5x+y=\frac{-45}{11}\end{matrix}\right.\qquad V=\{(1,\frac{10}{11})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-295}{208}-x\\3x-5y=\frac{-661}{208}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-1}{13})\}\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{101}{10}\\2x=y+\frac{13}{30}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{-19}{15})\}\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-190}{7}\\-x=-4y+\frac{-310}{21}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-10}{3})\}\)
10. \(\left\{\begin{matrix}-3x-3y=\frac{57}{11}\\-x-2y=2\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-3}{11})\}\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{9}{2}\\-x+y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},2)\}\)
12. \(\left\{\begin{matrix}3y=\frac{1532}{323}+5x\\-x-y=\frac{-156}{323}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{17}{19})\}\)