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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-4y=\frac{100}{19}\\x+y=\frac{-27}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+4y=\frac{-404}{17}\\2x=y+\frac{147}{34}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-5y=\frac{-96}{19}\\-2x+5y=\frac{93}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+y=\frac{26}{21}\\6x=5y+\frac{-34}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+y=\frac{217}{76}\\-3x=2y+\frac{-105}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+5y=\frac{-509}{76}\\4x=y+\frac{-164}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-6y=\frac{388}{99}\\5x=-y+\frac{-182}{99}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-2y=\frac{11}{45}\\4x-5y=\frac{77}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+4y=\frac{-99}{10}\\-x=3y+\frac{3}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-399}{52}-5x\\2x+y=\frac{111}{130}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-y=\frac{151}{20}\\5x=-6y+\frac{-195}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-6y=\frac{121}{6}\\x=-y+\frac{-67}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-4y=\frac{100}{19}\\x+y=\frac{-27}{19}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},-1)\}\)
2. \(\left\{\begin{matrix}3x+4y=\frac{-404}{17}\\2x=y+\frac{147}{34}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{-11}{2})\}\)
3. \(\left\{\begin{matrix}-x-5y=\frac{-96}{19}\\-2x+5y=\frac{93}{19}\end{matrix}\right.\qquad V=\{(\frac{1}{19},1)\}\)
4. \(\left\{\begin{matrix}2x+y=\frac{26}{21}\\6x=5y+\frac{-34}{21}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}5x+y=\frac{217}{76}\\-3x=2y+\frac{-105}{38}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{3}{4})\}\)
6. \(\left\{\begin{matrix}3x+5y=\frac{-509}{76}\\4x=y+\frac{-164}{57}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{-15}{19})\}\)
7. \(\left\{\begin{matrix}2x-6y=\frac{388}{99}\\5x=-y+\frac{-182}{99}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-8}{11})\}\)
8. \(\left\{\begin{matrix}-x-2y=\frac{11}{45}\\4x-5y=\frac{77}{9}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{-11}{15})\}\)
9. \(\left\{\begin{matrix}-5x+4y=\frac{-99}{10}\\-x=3y+\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-399}{52}-5x\\2x+y=\frac{111}{130}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{15}{13})\}\)
11. \(\left\{\begin{matrix}3x-y=\frac{151}{20}\\5x=-6y+\frac{-195}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},-8)\}\)
12. \(\left\{\begin{matrix}-3x-6y=\frac{121}{6}\\x=-y+\frac{-67}{18}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},-3)\}\)