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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+6y=\frac{-43}{10}\\x=-4y+\frac{2}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+y=\frac{-89}{39}\\6x+4y=\frac{-296}{39}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{-219}{55}\\-x=-6y+\frac{327}{110}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-249}{28}-4x\\x+y=\frac{33}{56}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{317}{76}+5x\\-2x+3y=\frac{-67}{76}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-y=12\\5x=3y+\frac{-9}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=28+6x\\4x+5y=\frac{-173}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-59}{8}-3x\\5x-3y=\frac{-97}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{1915}{76}-5x\\-x+5y=\frac{-623}{76}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-y=\frac{49}{2}\\-4x=-3y+\frac{61}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{-109}{90}\\x=y+\frac{-43}{90}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-4y=\frac{-108}{13}\\x=-5y+\frac{225}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+6y=\frac{-43}{10}\\x=-4y+\frac{2}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}4x+y=\frac{-89}{39}\\6x+4y=\frac{-296}{39}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{-219}{55}\\-x=-6y+\frac{327}{110}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{6}{11})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-249}{28}-4x\\x+y=\frac{33}{56}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{15}{8})\}\)
5. \(\left\{\begin{matrix}-y=\frac{317}{76}+5x\\-2x+3y=\frac{-67}{76}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{-3}{4})\}\)
6. \(\left\{\begin{matrix}-4x-y=12\\5x=3y+\frac{-9}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},-3)\}\)
7. \(\left\{\begin{matrix}-y=28+6x\\4x+5y=\frac{-173}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},-9)\}\)
8. \(\left\{\begin{matrix}-y=\frac{-59}{8}-3x\\5x-3y=\frac{-97}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-1}{8})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{1915}{76}-5x\\-x+5y=\frac{-623}{76}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{-15}{19})\}\)
10. \(\left\{\begin{matrix}-3x-y=\frac{49}{2}\\-4x=-3y+\frac{61}{2}\end{matrix}\right.\qquad V=\{(-8,\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{-109}{90}\\x=y+\frac{-43}{90}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-13}{18})\}\)
12. \(\left\{\begin{matrix}-2x-4y=\frac{-108}{13}\\x=-5y+\frac{225}{26}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{3}{2})\}\)