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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-2y=\frac{-374}{117}\\-x+4y=\frac{154}{117}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{1}{4}\\-x+4y=\frac{-53}{16}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-551}{34}-6x\\-3x+6y=\frac{441}{68}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-4y=\frac{79}{2}\\-4x-y=\frac{52}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-151}{9}+6x\\x-3y=\frac{19}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+4y=\frac{-1}{2}\\6x-y=\frac{-131}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{467}{133}\\-2x=-4y+\frac{52}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{66}{7}-5x\\x-6y=\frac{498}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{233}{21}-6x\\6x+y=\frac{38}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{345}{14}-5x\\x-y=\frac{1}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-4y=5\\6x+3y=\frac{-129}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-62}{51}-4x\\4x-y=\frac{178}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-2y=\frac{-374}{117}\\-x+4y=\frac{154}{117}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{4}{9})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{1}{4}\\-x+4y=\frac{-53}{16}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},-1)\}\)
3. \(\left\{\begin{matrix}-y=\frac{-551}{34}-6x\\-3x+6y=\frac{441}{68}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{-5}{17})\}\)
4. \(\left\{\begin{matrix}5x-4y=\frac{79}{2}\\-4x-y=\frac{52}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},-10)\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-151}{9}+6x\\x-3y=\frac{19}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-1}{9})\}\)
6. \(\left\{\begin{matrix}4x+4y=\frac{-1}{2}\\6x-y=\frac{-131}{16}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{17}{16})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{467}{133}\\-2x=-4y+\frac{52}{133}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-9}{19})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{66}{7}-5x\\x-6y=\frac{498}{35}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-18}{7})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{233}{21}-6x\\6x+y=\frac{38}{21}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-13}{7})\}\)
10. \(\left\{\begin{matrix}5y=\frac{345}{14}-5x\\x-y=\frac{1}{14}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{17}{7})\}\)
11. \(\left\{\begin{matrix}x-4y=5\\6x+3y=\frac{-129}{2}\end{matrix}\right.\qquad V=\{(-9,\frac{-7}{2})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-62}{51}-4x\\4x-y=\frac{178}{51}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{20}{17})\}\)