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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-403}{57}-4x\\6x-5y=\frac{-501}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+y=\frac{153}{52}\\-2x-2y=\frac{7}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{237}{80}\\-5x-4y=\frac{-15}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-68}{15}-5x\\-4x-y=\frac{28}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-6}{35}\\x-4y=\frac{268}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-393}{140}+3x\\-x-y=\frac{-111}{140}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-7}{5}+4x\\x-y=\frac{-17}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-y=8\\5x=3y+\frac{26}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+3y=\frac{-1}{3}\\5x+y=\frac{38}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{172}{21}\\-5x=-y+\frac{-83}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{31}{70}-3x\\-x+y=\frac{-51}{140}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+2y=\frac{514}{143}\\-5x=y+\frac{-818}{143}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-403}{57}-4x\\6x-5y=\frac{-501}{38}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{14}{19})\}\)
2. \(\left\{\begin{matrix}6x+y=\frac{153}{52}\\-2x-2y=\frac{7}{26}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-3}{4})\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{237}{80}\\-5x-4y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-9}{16})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-68}{15}-5x\\-4x-y=\frac{28}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{-4}{5})\}\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-6}{35}\\x-4y=\frac{268}{35}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-11}{5})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-393}{140}+3x\\-x-y=\frac{-111}{140}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{1}{7})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-7}{5}+4x\\x-y=\frac{-17}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{3}{5})\}\)
8. \(\left\{\begin{matrix}-6x-y=8\\5x=3y+\frac{26}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-4)\}\)
9. \(\left\{\begin{matrix}2x+3y=\frac{-1}{3}\\5x+y=\frac{38}{9}\end{matrix}\right.\qquad V=\{(1,\frac{-7}{9})\}\)
10. \(\left\{\begin{matrix}-2x+4y=\frac{172}{21}\\-5x=-y+\frac{-83}{21}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{19}{7})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{31}{70}-3x\\-x+y=\frac{-51}{140}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-13}{20})\}\)
12. \(\left\{\begin{matrix}4x+2y=\frac{514}{143}\\-5x=y+\frac{-818}{143}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-9}{11})\}\)