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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+3y=\frac{-8}{9}\\-x+2y=\frac{-29}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-24}{7}\\-5x=-y+\frac{-10}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{93}{14}\\-x=y+\frac{-163}{56}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{-364}{15}\\x=-3y+\frac{172}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-9}{2}+6x\\-6x-y=\frac{-1}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-3y=2\\x=2y+\frac{7}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{-15}{2}\\-x=2y+\frac{-1}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-393}{8}+6x\\2x-y=\frac{205}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-101}{33}-3x\\-x-y=\frac{-61}{66}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-y=-9\\4x=6y+\frac{-89}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{59}{7}-3x\\-2x-y=\frac{-67}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{-13}{5}\\6x=y+\frac{-31}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+3y=\frac{-8}{9}\\-x+2y=\frac{-29}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{-2}{3})\}\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-24}{7}\\-5x=-y+\frac{-10}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-15}{14})\}\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{93}{14}\\-x=y+\frac{-163}{56}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{16}{7})\}\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{-364}{15}\\x=-3y+\frac{172}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{18}{5})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-9}{2}+6x\\-6x-y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-1)\}\)
6. \(\left\{\begin{matrix}2x-3y=2\\x=2y+\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{-15}{2}\\-x=2y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(2,\frac{-5}{6})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-393}{8}+6x\\2x-y=\frac{205}{16}\end{matrix}\right.\qquad V=\{(7,\frac{19}{16})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-101}{33}-3x\\-x-y=\frac{-61}{66}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{5}{6})\}\)
10. \(\left\{\begin{matrix}x-y=-9\\4x=6y+\frac{-89}{2}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{17}{4})\}\)
11. \(\left\{\begin{matrix}2y=\frac{59}{7}-3x\\-2x-y=\frac{-67}{14}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{5}{2})\}\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{-13}{5}\\6x=y+\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},-1)\}\)