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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{39}{7}-4x\\x+y=\frac{39}{28}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-5y=\frac{873}{88}\\x+4y=\frac{-161}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-3y=\frac{78}{19}\\-6x+y=\frac{-110}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-2y=-4\\-2x=3y+\frac{-31}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-71}{20}-x\\-6x-2y=\frac{-27}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{127}{6}+5x\\-x+5y=\frac{-61}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-5y=\frac{-41}{16}\\-6x=-y+\frac{53}{16}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{56}{3}+4x\\-x-5y=\frac{-47}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{-63}{4}\\x=-2y+\frac{23}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-192}{17}-4x\\-6x+y=\frac{218}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-y=\frac{5}{4}\\-4x-5y=\frac{-59}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-257}{95}+4x\\5x-6y=\frac{592}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{39}{7}-4x\\x+y=\frac{39}{28}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{-13}{7})\}\)
2. \(\left\{\begin{matrix}3x-5y=\frac{873}{88}\\x+4y=\frac{-161}{22}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{-15}{8})\}\)
3. \(\left\{\begin{matrix}4x-3y=\frac{78}{19}\\-6x+y=\frac{-110}{19}\end{matrix}\right.\qquad V=\{(\frac{18}{19},\frac{-2}{19})\}\)
4. \(\left\{\begin{matrix}x-2y=-4\\-2x=3y+\frac{-31}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{9}{4})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-71}{20}-x\\-6x-2y=\frac{-27}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{3}{4})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{127}{6}+5x\\-x+5y=\frac{-61}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{-8}{3})\}\)
7. \(\left\{\begin{matrix}2x-5y=\frac{-41}{16}\\-6x=-y+\frac{53}{16}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{5}{16})\}\)
8. \(\left\{\begin{matrix}6y=\frac{56}{3}+4x\\-x-5y=\frac{-47}{2}\end{matrix}\right.\qquad V=\{(\frac{11}{6},\frac{13}{3})\}\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{-63}{4}\\x=-2y+\frac{23}{4}\end{matrix}\right.\qquad V=\{(2,\frac{15}{8})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-192}{17}-4x\\-6x+y=\frac{218}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{14}{17})\}\)
11. \(\left\{\begin{matrix}-3x-y=\frac{5}{4}\\-4x-5y=\frac{-59}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{17}{2})\}\)
12. \(\left\{\begin{matrix}y=\frac{-257}{95}+4x\\5x-6y=\frac{592}{95}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{-3}{5})\}\)