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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+3y=\frac{-133}{6}\\-5x=y+\frac{38}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{-12}{7}\\-2x-y=\frac{27}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{-5}{4}\\x=-6y+\frac{31}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-3y=\frac{35}{8}\\-4x+6y=\frac{205}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+3y=\frac{-89}{3}\\-x+y=\frac{-139}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-17}{12}+x\\-3x-5y=\frac{5}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-7}{80}\\-x+6y=\frac{429}{80}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-3y=\frac{93}{20}\\-5x=y+\frac{151}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{115}{34}+5x\\x+y=\frac{-129}{170}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-14}{15}\\-x-4y=\frac{163}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+2y=\frac{20}{9}\\-x+4y=\frac{13}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{-31}{7}\\5x+5y=\frac{65}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+3y=\frac{-133}{6}\\-5x=y+\frac{38}{9}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{-19}{2})\}\)
2. \(\left\{\begin{matrix}-3x+6y=\frac{-12}{7}\\-2x-y=\frac{27}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},-1)\}\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{-5}{4}\\x=-6y+\frac{31}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-x-3y=\frac{35}{8}\\-4x+6y=\frac{205}{4}\end{matrix}\right.\qquad V=\{(-10,\frac{15}{8})\}\)
5. \(\left\{\begin{matrix}-4x+3y=\frac{-89}{3}\\-x+y=\frac{-139}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{-11}{9})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-17}{12}+x\\-3x-5y=\frac{5}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{3}{8})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-7}{80}\\-x+6y=\frac{429}{80}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{4}{5})\}\)
8. \(\left\{\begin{matrix}-3x-3y=\frac{93}{20}\\-5x=y+\frac{151}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{20})\}\)
9. \(\left\{\begin{matrix}2y=\frac{115}{34}+5x\\x+y=\frac{-129}{170}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-1}{17})\}\)
10. \(\left\{\begin{matrix}3x-3y=\frac{-14}{15}\\-x-4y=\frac{163}{90}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{-3}{10})\}\)
11. \(\left\{\begin{matrix}4x+2y=\frac{20}{9}\\-x+4y=\frac{13}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{4}{9})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{-31}{7}\\5x+5y=\frac{65}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{10}{7})\}\)