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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{523}{45}-x\\6x+2y=\frac{-37}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-5y=\frac{-31}{8}\\x-3y=\frac{-5}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{-41}{28}\\-6x=y+\frac{89}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-61}{14}-5x\\-x+5y=\frac{65}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-6y=\frac{-29}{2}\\-3x=-y+\frac{-43}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+2y=\frac{158}{35}\\-x+6y=\frac{274}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+6y=\frac{-139}{76}\\-6x+4y=\frac{-153}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-13}{4}\\2x=-6y+\frac{-1}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+5y=-20\\-x-4y=\frac{67}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-457}{24}-5x\\-x-5y=\frac{-59}{48}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-1543}{114}-5x\\-4x-2y=\frac{574}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-93}{17}-5x\\5x+y=\frac{-81}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{523}{45}-x\\6x+2y=\frac{-37}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-19}{10})\}\)
2. \(\left\{\begin{matrix}-4x-5y=\frac{-31}{8}\\x-3y=\frac{-5}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{3}{8})\}\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{-41}{28}\\-6x=y+\frac{89}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-13}{7})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-61}{14}-5x\\-x+5y=\frac{65}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{6}{7})\}\)
5. \(\left\{\begin{matrix}2x-6y=\frac{-29}{2}\\-3x=-y+\frac{-43}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{19}{6})\}\)
6. \(\left\{\begin{matrix}3x+2y=\frac{158}{35}\\-x+6y=\frac{274}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{7}{5})\}\)
7. \(\left\{\begin{matrix}x+6y=\frac{-139}{76}\\-6x+4y=\frac{-153}{38}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-3}{8})\}\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-13}{4}\\2x=-6y+\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}5x+5y=-20\\-x-4y=\frac{67}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-17}{4})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-457}{24}-5x\\-x-5y=\frac{-59}{48}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{13}{16})\}\)
11. \(\left\{\begin{matrix}y=\frac{-1543}{114}-5x\\-4x-2y=\frac{574}{57}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{12}{19})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-93}{17}-5x\\5x+y=\frac{-81}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{17})\}\)