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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-163}{99}+2x\\-3x+y=\frac{-37}{66}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+4y=\frac{-17}{2}\\-x=y+\frac{-9}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{-94}{13}\\-x=y+\frac{53}{26}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-2y=\frac{47}{10}\\6x-y=\frac{41}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-271}{24}+5x\\-x+y=\frac{-217}{72}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-71}{4}-2x\\-x+6y=\frac{107}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{160}{17}\\-x=-6y+\frac{-455}{102}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-5y=\frac{-83}{38}\\x+4y=\frac{36}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{171}{7}-6x\\-x+2y=\frac{-93}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+6y=\frac{-9}{2}\\-6x=-y+\frac{-1}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{272}{5}+6x\\x+6y=\frac{221}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{109}{13}+2x\\5x-6y=\frac{-591}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-163}{99}+2x\\-3x+y=\frac{-37}{66}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{3}{11})\}\)
2. \(\left\{\begin{matrix}-4x+4y=\frac{-17}{2}\\-x=y+\frac{-9}{8}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{-94}{13}\\-x=y+\frac{53}{26}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-20}{13})\}\)
4. \(\left\{\begin{matrix}2x-2y=\frac{47}{10}\\6x-y=\frac{41}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{20},-2)\}\)
5. \(\left\{\begin{matrix}3y=\frac{-271}{24}+5x\\-x+y=\frac{-217}{72}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-17}{9})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-71}{4}-2x\\-x+6y=\frac{107}{8}\end{matrix}\right.\qquad V=\{(-10,\frac{9}{16})\}\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{160}{17}\\-x=-6y+\frac{-455}{102}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-15}{17})\}\)
8. \(\left\{\begin{matrix}-3x-5y=\frac{-83}{38}\\x+4y=\frac{36}{19}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{1}{2})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{171}{7}-6x\\-x+2y=\frac{-93}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-18}{7})\}\)
10. \(\left\{\begin{matrix}5x+6y=\frac{-9}{2}\\-6x=-y+\frac{-1}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}6y=\frac{272}{5}+6x\\x+6y=\frac{221}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{17}{5})\}\)
12. \(\left\{\begin{matrix}y=\frac{109}{13}+2x\\5x-6y=\frac{-591}{13}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},7)\}\)