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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=\frac{72}{19}\\-2x+5y=\frac{155}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+6y=\frac{285}{68}\\-4x=-4y+\frac{107}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+3y=\frac{519}{20}\\-x=-3y+\frac{159}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-5y=\frac{-18}{7}\\-2x+4y=\frac{-36}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+4y=\frac{26}{9}\\x-6y=\frac{-113}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-6y=\frac{-33}{2}\\-x=-3y+\frac{33}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{118}{15}+6x\\3x-y=\frac{-27}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{-45}{2}\\-2x-y=\frac{25}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-y=\frac{-83}{28}\\5x=-3y+\frac{225}{56}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=\frac{443}{17}\\-x-5y=\frac{419}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{166}{21}-3x\\-x+2y=\frac{-166}{63}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+6y=\frac{-159}{5}\\3x=y+\frac{-23}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=\frac{72}{19}\\-2x+5y=\frac{155}{38}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}x+6y=\frac{285}{68}\\-4x=-4y+\frac{107}{17}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{14}{17})\}\)
3. \(\left\{\begin{matrix}-3x+3y=\frac{519}{20}\\-x=-3y+\frac{159}{20}\end{matrix}\right.\qquad V=\{(-9,\frac{-7}{20})\}\)
4. \(\left\{\begin{matrix}x-5y=\frac{-18}{7}\\-2x+4y=\frac{-36}{7}\end{matrix}\right.\qquad V=\{(6,\frac{12}{7})\}\)
5. \(\left\{\begin{matrix}4x+4y=\frac{26}{9}\\x-6y=\frac{-113}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},1)\}\)
6. \(\left\{\begin{matrix}2x-6y=\frac{-33}{2}\\-x=-3y+\frac{33}{4}\end{matrix}\right.\qquad V=\{(-6,\frac{3}{4})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{118}{15}+6x\\3x-y=\frac{-27}{5}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{11}{15})\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{-45}{2}\\-2x-y=\frac{25}{2}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},-5)\}\)
9. \(\left\{\begin{matrix}-6x-y=\frac{-83}{28}\\5x=-3y+\frac{225}{56}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{5}{7})\}\)
10. \(\left\{\begin{matrix}3x-5y=\frac{443}{17}\\-x-5y=\frac{419}{17}\end{matrix}\right.\qquad V=\{(\frac{6}{17},-5)\}\)
11. \(\left\{\begin{matrix}-6y=\frac{166}{21}-3x\\-x+2y=\frac{-166}{63}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-17}{9})\}\)
12. \(\left\{\begin{matrix}6x+6y=\frac{-159}{5}\\3x=y+\frac{-23}{10}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-17}{5})\}\)