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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+3y=6\\-6x=-y+\frac{-3}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-53}{88}+x\\-4x+6y=\frac{35}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{19}{6}+x\\-5x-3y=\frac{-25}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-45}{4}-3x\\-3x-2y=\frac{81}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-98}{17}-2x\\x-4y=\frac{-66}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+2y=\frac{-59}{3}\\-2x=-3y+\frac{-163}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-4y=\frac{-89}{9}\\x=y+\frac{-47}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-65}{12}-x\\-3x-5y=\frac{221}{36}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+3y=\frac{153}{70}\\5x+y=\frac{24}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+5y=\frac{113}{5}\\-5x=y+\frac{-64}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{88}{117}+2x\\-2x-y=\frac{23}{117}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+4y=-4\\x=y+\frac{3}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+3y=6\\-6x=-y+\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},3)\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-53}{88}+x\\-4x+6y=\frac{35}{22}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{2}{11})\}\)
3. \(\left\{\begin{matrix}3y=\frac{19}{6}+x\\-5x-3y=\frac{-25}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{10}{9})\}\)
4. \(\left\{\begin{matrix}y=\frac{-45}{4}-3x\\-3x-2y=\frac{81}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-9)\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-98}{17}-2x\\x-4y=\frac{-66}{17}\end{matrix}\right.\qquad V=\{(\frac{2}{17},1)\}\)
6. \(\left\{\begin{matrix}x+2y=\frac{-59}{3}\\-2x=-3y+\frac{-163}{6}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-19}{2})\}\)
7. \(\left\{\begin{matrix}-5x-4y=\frac{-89}{9}\\x=y+\frac{-47}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},4)\}\)
8. \(\left\{\begin{matrix}6y=\frac{-65}{12}-x\\-3x-5y=\frac{221}{36}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-7}{9})\}\)
9. \(\left\{\begin{matrix}6x+3y=\frac{153}{70}\\5x+y=\frac{24}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-15}{14})\}\)
10. \(\left\{\begin{matrix}2x+5y=\frac{113}{5}\\-5x=y+\frac{-64}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{19}{5})\}\)
11. \(\left\{\begin{matrix}4y=\frac{88}{117}+2x\\-2x-y=\frac{23}{117}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{1}{9})\}\)
12. \(\left\{\begin{matrix}-5x+4y=-4\\x=y+\frac{3}{4}\end{matrix}\right.\qquad V=\{(1,\frac{1}{4})\}\)