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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-2y=0\\-x+3y=\frac{-7}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{61}{14}+4x\\3x+y=\frac{-141}{56}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{28}{5}\\4x=-y+\frac{-203}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-3y=\frac{-52}{3}\\3x=-y+\frac{-128}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-11}{6}-6x\\-3x+y=\frac{7}{24}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+2y=\frac{41}{9}\\6x=4y+\frac{-134}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+3y=\frac{-36}{91}\\-x=y+\frac{89}{182}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-69}{20}-x\\-6x+4y=\frac{197}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{722}{21}+5x\\x+5y=\frac{-551}{42}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{2}{5}\\-x+y=\frac{-1}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-91}{34}-2x\\-6x-2y=\frac{73}{34}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{-116}{13}\\-x=-4y+\frac{55}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-2y=0\\-x+3y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-1)\}\)
2. \(\left\{\begin{matrix}-4y=\frac{61}{14}+4x\\3x+y=\frac{-141}{56}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-3}{8})\}\)
3. \(\left\{\begin{matrix}-2x-4y=\frac{28}{5}\\4x=-y+\frac{-203}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-3}{20})\}\)
4. \(\left\{\begin{matrix}3x-3y=\frac{-52}{3}\\3x=-y+\frac{-128}{9}\end{matrix}\right.\qquad V=\{(-5,\frac{7}{9})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-11}{6}-6x\\-3x+y=\frac{7}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{5}{8})\}\)
6. \(\left\{\begin{matrix}-x+2y=\frac{41}{9}\\6x=4y+\frac{-134}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{14}{9})\}\)
7. \(\left\{\begin{matrix}6x+3y=\frac{-36}{91}\\-x=y+\frac{89}{182}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-11}{13})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-69}{20}-x\\-6x+4y=\frac{197}{10}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{1}{8})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{722}{21}+5x\\x+5y=\frac{-551}{42}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{-19}{14})\}\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{2}{5}\\-x+y=\frac{-1}{10}\end{matrix}\right.\qquad V=\{(1,\frac{9}{10})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-91}{34}-2x\\-6x-2y=\frac{73}{34}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{20}{17})\}\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{-116}{13}\\-x=-4y+\frac{55}{13}\end{matrix}\right.\qquad V=\{(1,\frac{17}{13})\}\)