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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=\frac{-31}{20}\\-5x=-3y+\frac{-121}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=-9-5x\\4x+y=\frac{-51}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=\frac{37}{5}\\3x=y+\frac{19}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-122}{15}\\-5x=2y+\frac{31}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-391}{36}-4x\\-x+2y=\frac{109}{36}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-79}{60}-x\\3x-5y=\frac{83}{60}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+y=\frac{55}{9}\\3x=-5y+\frac{32}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{503}{114}\\-x-y=\frac{-83}{114}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+2y=\frac{522}{119}\\x=-3y+\frac{121}{238}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{71}{6}+5x\\4x-y=\frac{-127}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-128}{3}-4x\\-5x-y=\frac{130}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+5y=59\\3x-y=\frac{-159}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=\frac{-31}{20}\\-5x=-3y+\frac{-121}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-3}{5})\}\)
2. \(\left\{\begin{matrix}3y=-9-5x\\4x+y=\frac{-51}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}3x+4y=\frac{37}{5}\\3x=y+\frac{19}{10}\end{matrix}\right.\qquad V=\{(1,\frac{11}{10})\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-122}{15}\\-5x=2y+\frac{31}{3}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},-3)\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-391}{36}-4x\\-x+2y=\frac{109}{36}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{5}{8})\}\)
6. \(\left\{\begin{matrix}y=\frac{-79}{60}-x\\3x-5y=\frac{83}{60}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{-2}{3})\}\)
7. \(\left\{\begin{matrix}6x+y=\frac{55}{9}\\3x=-5y+\frac{32}{9}\end{matrix}\right.\qquad V=\{(1,\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{503}{114}\\-x-y=\frac{-83}{114}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{17}{19})\}\)
9. \(\left\{\begin{matrix}4x+2y=\frac{522}{119}\\x=-3y+\frac{121}{238}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{-4}{17})\}\)
10. \(\left\{\begin{matrix}2y=\frac{71}{6}+5x\\4x-y=\frac{-127}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{5}{3})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-128}{3}-4x\\-5x-y=\frac{130}{3}\end{matrix}\right.\qquad V=\{(-9,\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}-5x+5y=59\\3x-y=\frac{-159}{5}\end{matrix}\right.\qquad V=\{(-10,\frac{9}{5})\}\)