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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-4y=\frac{59}{5}\\-x=y+\frac{21}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{85}{42}+4x\\4x-6y=\frac{-55}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+3y=\frac{9}{2}\\x=4y+\frac{65}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-57}{34}+x\\-4x+3y=\frac{-851}{170}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{422}{63}\\-x=-3y+\frac{-22}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{1038}{119}-3x\\-x+y=\frac{-164}{119}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-31}{2}-2x\\x+5y=\frac{259}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+6y=\frac{-78}{5}\\-x-5y=\frac{5}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-59}{30}\\-x=-3y+\frac{31}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-3y=12\\-6x=-5y+\frac{-79}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{161}{30}\\-4x-y=\frac{-56}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+5y=\frac{1840}{19}\\-5x+y=\frac{440}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-4y=\frac{59}{5}\\-x=y+\frac{21}{5}\end{matrix}\right.\qquad V=\{(-5,\frac{4}{5})\}\)
2. \(\left\{\begin{matrix}-y=\frac{85}{42}+4x\\4x-6y=\frac{-55}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{5}{6})\}\)
3. \(\left\{\begin{matrix}4x+3y=\frac{9}{2}\\x=4y+\frac{65}{24}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}5y=\frac{-57}{34}+x\\-4x+3y=\frac{-851}{170}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{-1}{10})\}\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{422}{63}\\-x=-3y+\frac{-22}{21}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-7}{9})\}\)
6. \(\left\{\begin{matrix}3y=\frac{1038}{119}-3x\\-x+y=\frac{-164}{119}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{13}{17})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-31}{2}-2x\\x+5y=\frac{259}{12}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{11}{3})\}\)
8. \(\left\{\begin{matrix}3x+6y=\frac{-78}{5}\\-x-5y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(-7,\frac{9}{10})\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{-59}{30}\\-x=-3y+\frac{31}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}x-3y=12\\-6x=-5y+\frac{-79}{2}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{-5}{2})\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{161}{30}\\-4x-y=\frac{-56}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{14}{15})\}\)
12. \(\left\{\begin{matrix}5x+5y=\frac{1840}{19}\\-5x+y=\frac{440}{19}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},20)\}\)