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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-3y=\frac{11}{4}\\-6x=6y+\frac{21}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{-57}{11}\\-4x=-y+\frac{89}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-13}{6}-2x\\-x+4y=\frac{-127}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-4y=\frac{-131}{60}\\3x=y+\frac{1}{60}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{-559}{190}\\-x+6y=\frac{631}{380}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-3y=\frac{939}{340}\\4x-y=\frac{633}{340}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-73}{10}-5x\\x-y=\frac{-17}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+3y=\frac{11}{3}\\-3x=-2y+\frac{-11}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-6y=\frac{-27}{5}\\x=-5y+\frac{51}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{718}{17}-4x\\3x+y=\frac{122}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+2y=\frac{52}{3}\\x+5y=34\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-y=\frac{-185}{12}\\-5x=3y+\frac{-157}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-3y=\frac{11}{4}\\-6x=6y+\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-9}{8})\}\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{-57}{11}\\-4x=-y+\frac{89}{22}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-13}{6}-2x\\-x+4y=\frac{-127}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-7}{3})\}\)
4. \(\left\{\begin{matrix}3x-4y=\frac{-131}{60}\\3x=y+\frac{1}{60}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{11}{15})\}\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{-559}{190}\\-x+6y=\frac{631}{380}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{7}{19})\}\)
6. \(\left\{\begin{matrix}4x-3y=\frac{939}{340}\\4x-y=\frac{633}{340}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{-9}{20})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-73}{10}-5x\\x-y=\frac{-17}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{6}{5})\}\)
8. \(\left\{\begin{matrix}x+3y=\frac{11}{3}\\-3x=-2y+\frac{-11}{9}\end{matrix}\right.\qquad V=\{(1,\frac{8}{9})\}\)
9. \(\left\{\begin{matrix}6x-6y=\frac{-27}{5}\\x=-5y+\frac{51}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{10},1)\}\)
10. \(\left\{\begin{matrix}6y=\frac{718}{17}-4x\\3x+y=\frac{122}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{17},7)\}\)
11. \(\left\{\begin{matrix}6x+2y=\frac{52}{3}\\x+5y=34\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{20}{3})\}\)
12. \(\left\{\begin{matrix}-2x-y=\frac{-185}{12}\\-5x=3y+\frac{-157}{4}\end{matrix}\right.\qquad V=\{(7,\frac{17}{12})\}\)