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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-6y=-6\\-x=3y+\frac{-7}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{391}{65}\\-3x-y=\frac{-359}{130}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-121}{76}\\-x=-y+\frac{3}{76}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{41}{70}-x\\-4x-5y=\frac{34}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-343}{68}+6x\\4x-y=\frac{181}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+3y=\frac{-631}{240}\\6x-3y=\frac{733}{80}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{316}{3}+6x\\-6x+y=\frac{76}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{83}{19}+6x\\-x+4y=\frac{188}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{-49}{3}\\-x-2y=\frac{-41}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-1}{6}\\-x+4y=\frac{-11}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+3y=\frac{-414}{13}\\x-6y=\frac{-82}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-430}{133}-6x\\x+2y=\frac{-165}{133}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-6y=-6\\-x=3y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{391}{65}\\-3x-y=\frac{-359}{130}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-7}{13})\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-121}{76}\\-x=-y+\frac{3}{76}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}-y=\frac{41}{70}-x\\-4x-5y=\frac{34}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{-4}{5})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-343}{68}+6x\\4x-y=\frac{181}{34}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{20}{17})\}\)
6. \(\left\{\begin{matrix}x+3y=\frac{-631}{240}\\6x-3y=\frac{733}{80}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{-19}{16})\}\)
7. \(\left\{\begin{matrix}5y=\frac{316}{3}+6x\\-6x+y=\frac{76}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},20)\}\)
8. \(\left\{\begin{matrix}2y=\frac{83}{19}+6x\\-x+4y=\frac{188}{19}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{5}{2})\}\)
9. \(\left\{\begin{matrix}-2x-5y=\frac{-49}{3}\\-x-2y=\frac{-41}{6}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{8}{3})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-1}{6}\\-x+4y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}3x+3y=\frac{-414}{13}\\x-6y=\frac{-82}{13}\end{matrix}\right.\qquad V=\{(-10,\frac{-8}{13})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-430}{133}-6x\\x+2y=\frac{-165}{133}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-5}{19})\}\)