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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{8}{5}\\-4x=y+\frac{29}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-y=\frac{-81}{55}\\-5x=2y+\frac{126}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+y=\frac{-6}{5}\\-2x+4y=\frac{39}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+y=\frac{-769}{144}\\3x=-4y+\frac{73}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{33}{2}-4x\\-x-y=\frac{-21}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-1}{5}+3x\\-x-y=\frac{9}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{120}{119}-4x\\x+5y=\frac{-1840}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{-123}{20}\\5x=-y+\frac{351}{40}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-185}{4}+6x\\-5x-y=\frac{-487}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-193}{15}\\2x=y+\frac{-134}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+4y=\frac{78}{5}\\-5x+y=\frac{-13}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+6y=\frac{-454}{63}\\-4x+2y=\frac{362}{63}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{8}{5}\\-4x=y+\frac{29}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}2x-y=\frac{-81}{55}\\-5x=2y+\frac{126}{11}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-19}{11})\}\)
3. \(\left\{\begin{matrix}4x+y=\frac{-6}{5}\\-2x+4y=\frac{39}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{8}{5})\}\)
4. \(\left\{\begin{matrix}-4x+y=\frac{-769}{144}\\3x=-4y+\frac{73}{12}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{7}{16})\}\)
5. \(\left\{\begin{matrix}6y=\frac{33}{2}-4x\\-x-y=\frac{-21}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},3)\}\)
6. \(\left\{\begin{matrix}4y=\frac{-1}{5}+3x\\-x-y=\frac{9}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{120}{119}-4x\\x+5y=\frac{-1840}{119}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{-20}{7})\}\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{-123}{20}\\5x=-y+\frac{351}{40}\end{matrix}\right.\qquad V=\{(\frac{15}{8},\frac{-3}{5})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-185}{4}+6x\\-5x-y=\frac{-487}{12}\end{matrix}\right.\qquad V=\{(8,\frac{7}{12})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-193}{15}\\2x=y+\frac{-134}{15}\end{matrix}\right.\qquad V=\{(-5,\frac{-16}{15})\}\)
11. \(\left\{\begin{matrix}2x+4y=\frac{78}{5}\\-5x+y=\frac{-13}{4}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{13}{4})\}\)
12. \(\left\{\begin{matrix}-x+6y=\frac{-454}{63}\\-4x+2y=\frac{362}{63}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{-11}{7})\}\)