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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{7}{20}\\-4x=4y+\frac{1}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-515}{9}-2x\\x-y=\frac{169}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{137}{18}+3x\\-5x+3y=\frac{101}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-6y=\frac{158}{5}\\5x=-y+\frac{187}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-4y=-3\\6x=6y+0\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-3y=\frac{823}{95}\\-x=-y+\frac{-623}{285}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{502}{45}+6x\\-x+y=\frac{112}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-5y=\frac{34}{7}\\2x=y+\frac{2}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{163}{90}\\-4x=-y+\frac{-79}{90}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{123}{10}\\x+6y=\frac{-363}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-1}{66}+6x\\6x+6y=\frac{-119}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+6y=\frac{-33}{4}\\-3x+2y=\frac{-83}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{7}{20}\\-4x=4y+\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-515}{9}-2x\\x-y=\frac{169}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-19}{2})\}\)
3. \(\left\{\begin{matrix}-y=\frac{137}{18}+3x\\-5x+3y=\frac{101}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{8}{9})\}\)
4. \(\left\{\begin{matrix}2x-6y=\frac{158}{5}\\5x=-y+\frac{187}{5}\end{matrix}\right.\qquad V=\{(8,\frac{-13}{5})\}\)
5. \(\left\{\begin{matrix}x-4y=-3\\6x=6y+0\end{matrix}\right.\qquad V=\{(1,1)\}\)
6. \(\left\{\begin{matrix}5x-3y=\frac{823}{95}\\-x=-y+\frac{-623}{285}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{-17}{15})\}\)
7. \(\left\{\begin{matrix}4y=\frac{502}{45}+6x\\-x+y=\frac{112}{45}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{17}{9})\}\)
8. \(\left\{\begin{matrix}6x-5y=\frac{34}{7}\\2x=y+\frac{2}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},-2)\}\)
9. \(\left\{\begin{matrix}-2x+3y=\frac{163}{90}\\-4x=-y+\frac{-79}{90}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{9}{10})\}\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{123}{10}\\x+6y=\frac{-363}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},-3)\}\)
11. \(\left\{\begin{matrix}-y=\frac{-1}{66}+6x\\6x+6y=\frac{-119}{11}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{-13}{6})\}\)
12. \(\left\{\begin{matrix}x+6y=\frac{-33}{4}\\-3x+2y=\frac{-83}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-19}{12})\}\)