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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-23}{4}-3x\\-x-5y=\frac{1}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{113}{136}-x\\6x-5y=\frac{171}{68}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{-674}{57}\\-x+4y=\frac{575}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-177}{22}+4x\\-3x+y=\frac{-249}{44}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-3y=\frac{3}{65}\\-4x=5y+\frac{37}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-y=\frac{79}{5}\\-4x=-5y+\frac{99}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{129}{16}-6x\\-6x-6y=\frac{-27}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-3y=\frac{-97}{77}\\x+3y=\frac{-1}{77}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-y=\frac{-55}{36}\\-4x=-3y+\frac{127}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+y=\frac{54}{19}\\4x+4y=\frac{-12}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+6y=\frac{-103}{7}\\-5x=2y+\frac{61}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+y=\frac{41}{7}\\-3x=-5y+\frac{73}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-23}{4}-3x\\-x-5y=\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{1}{4})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{113}{136}-x\\6x-5y=\frac{171}{68}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-6}{17})\}\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{-674}{57}\\-x+4y=\frac{575}{57}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{8}{3})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-177}{22}+4x\\-3x+y=\frac{-249}{44}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}x-3y=\frac{3}{65}\\-4x=5y+\frac{37}{39}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{-1}{15})\}\)
6. \(\left\{\begin{matrix}6x-y=\frac{79}{5}\\-4x=-5y+\frac{99}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{5},7)\}\)
7. \(\left\{\begin{matrix}y=\frac{129}{16}-6x\\-6x-6y=\frac{-27}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-15}{16})\}\)
8. \(\left\{\begin{matrix}-2x-3y=\frac{-97}{77}\\x+3y=\frac{-1}{77}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{-3}{7})\}\)
9. \(\left\{\begin{matrix}-5x-y=\frac{-55}{36}\\-4x=-3y+\frac{127}{36}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{5}{4})\}\)
10. \(\left\{\begin{matrix}-2x+y=\frac{54}{19}\\4x+4y=\frac{-12}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{16}{19})\}\)
11. \(\left\{\begin{matrix}-x+6y=\frac{-103}{7}\\-5x=2y+\frac{61}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-18}{7})\}\)
12. \(\left\{\begin{matrix}-3x+y=\frac{41}{7}\\-3x=-5y+\frac{73}{7}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{8}{7})\}\)