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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+5y=\frac{-163}{7}\\-x+5y=\frac{-121}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{1}{14}-x\\-3x-3y=\frac{15}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-11}{6}+4x\\2x-6y=\frac{-5}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=\frac{55}{9}\\5x=3y+\frac{-17}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-129}{20}-2x\\-x-y=\frac{-23}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=-16+4x\\-3x+y=\frac{-11}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+3y=\frac{-414}{65}\\x=-3y+\frac{251}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{89}{18}\\4x=y+\frac{-311}{90}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+y=\frac{157}{34}\\3x+4y=\frac{661}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-5y=\frac{485}{16}\\-6x=2y+\frac{81}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{47}{10}\\x+4y=\frac{-7}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+y=\frac{-61}{15}\\6x-6y=\frac{22}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+5y=\frac{-163}{7}\\-x+5y=\frac{-121}{7}\end{matrix}\right.\qquad V=\{(3,\frac{-20}{7})\}\)
2. \(\left\{\begin{matrix}4y=\frac{1}{14}-x\\-3x-3y=\frac{15}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{1}{7})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-11}{6}+4x\\2x-6y=\frac{-5}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{1}{3})\}\)
4. \(\left\{\begin{matrix}-x-5y=\frac{55}{9}\\5x=3y+\frac{-17}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-8}{9})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-129}{20}-2x\\-x-y=\frac{-23}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{5}{4})\}\)
6. \(\left\{\begin{matrix}-3y=-16+4x\\-3x+y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},2)\}\)
7. \(\left\{\begin{matrix}-6x+3y=\frac{-414}{65}\\x=-3y+\frac{251}{65}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{4}{5})\}\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{89}{18}\\4x=y+\frac{-311}{90}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-1}{10})\}\)
9. \(\left\{\begin{matrix}2x+y=\frac{157}{34}\\3x+4y=\frac{661}{68}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{19}{17})\}\)
10. \(\left\{\begin{matrix}x-5y=\frac{485}{16}\\-6x=2y+\frac{81}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{16},-6)\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{47}{10}\\x+4y=\frac{-7}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{10})\}\)
12. \(\left\{\begin{matrix}-6x+y=\frac{-61}{15}\\6x-6y=\frac{22}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-1}{15})\}\)