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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{606}{55}-6x\\-x-y=\frac{-101}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-y=\frac{-43}{9}\\-6x=-2y+\frac{271}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-y=\frac{38}{7}\\5x=-5y+\frac{130}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=-43\\5x=-y+\frac{5}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-6y=25\\3x-y=\frac{25}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-1415}{112}-x\\-4x-6y=\frac{-561}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+2y=\frac{10}{9}\\-x+y=\frac{-1}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-217}{17}-x\\-2x+5y=\frac{299}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{704}{133}\\3x-y=\frac{-470}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{19}{6}+5x\\-x+2y=\frac{-8}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-3y=\frac{-45}{2}\\-4x+y=\frac{11}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{61}{22}+x\\5x-4y=\frac{-277}{22}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{606}{55}-6x\\-x-y=\frac{-101}{55}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{6}{5})\}\)
2. \(\left\{\begin{matrix}2x-y=\frac{-43}{9}\\-6x=-2y+\frac{271}{18}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{-13}{18})\}\)
3. \(\left\{\begin{matrix}-6x-y=\frac{38}{7}\\5x=-5y+\frac{130}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{18}{7})\}\)
4. \(\left\{\begin{matrix}-2x-6y=-43\\5x=-y+\frac{5}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{15}{2})\}\)
5. \(\left\{\begin{matrix}3x-6y=25\\3x-y=\frac{25}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-10}{3})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-1415}{112}-x\\-4x-6y=\frac{-561}{28}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{19}{7})\}\)
7. \(\left\{\begin{matrix}-3x+2y=\frac{10}{9}\\-x+y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{-19}{9})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-217}{17}-x\\-2x+5y=\frac{299}{17}\end{matrix}\right.\qquad V=\{(-11,\frac{-15}{17})\}\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{704}{133}\\3x-y=\frac{-470}{133}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{2}{19})\}\)
10. \(\left\{\begin{matrix}5y=\frac{19}{6}+5x\\-x+2y=\frac{-8}{15}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-7}{6})\}\)
11. \(\left\{\begin{matrix}4x-3y=\frac{-45}{2}\\-4x+y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{17}{2})\}\)
12. \(\left\{\begin{matrix}y=\frac{61}{22}+x\\5x-4y=\frac{-277}{22}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{14}{11})\}\)