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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-4y=\frac{726}{133}\\-x=5y+\frac{-90}{133}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-2y=\frac{-683}{171}\\-4x+y=\frac{917}{342}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-149}{68}+2x\\-x+6y=\frac{-67}{34}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+5y=\frac{-75}{8}\\x=3y+\frac{33}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-y=\frac{-26}{7}\\4x-5y=\frac{568}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+6y=-16\\-x+3y=\frac{-23}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+3y=\frac{701}{70}\\-x-5y=\frac{-887}{210}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{347}{14}-6x\\x+3y=\frac{211}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{4}{13}-3x\\x+6y=\frac{36}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-2y=\frac{76}{3}\\-3x=y+\frac{104}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{37}{7}\\x=3y+\frac{-20}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=\frac{17}{5}\\-x=y+\frac{59}{60}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-4y=\frac{726}{133}\\-x=5y+\frac{-90}{133}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{8}{19})\}\)
2. \(\left\{\begin{matrix}6x-2y=\frac{-683}{171}\\-4x+y=\frac{917}{342}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{-1}{18})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-149}{68}+2x\\-x+6y=\frac{-67}{34}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{-1}{4})\}\)
4. \(\left\{\begin{matrix}-5x+5y=\frac{-75}{8}\\x=3y+\frac{33}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-9}{8})\}\)
5. \(\left\{\begin{matrix}-5x-y=\frac{-26}{7}\\4x-5y=\frac{568}{35}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-16}{7})\}\)
6. \(\left\{\begin{matrix}-4x+6y=-16\\-x+3y=\frac{-23}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-7}{6})\}\)
7. \(\left\{\begin{matrix}-6x+3y=\frac{701}{70}\\-x-5y=\frac{-887}{210}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{15}{14})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{347}{14}-6x\\x+3y=\frac{211}{28}\end{matrix}\right.\qquad V=\{(\frac{19}{4},\frac{13}{14})\}\)
9. \(\left\{\begin{matrix}6y=\frac{4}{13}-3x\\x+6y=\frac{36}{13}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}-2x-2y=\frac{76}{3}\\-3x=y+\frac{104}{3}\end{matrix}\right.\qquad V=\{(-11,\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{37}{7}\\x=3y+\frac{-20}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{7},1)\}\)
12. \(\left\{\begin{matrix}4x-4y=\frac{17}{5}\\-x=y+\frac{59}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{-11}{12})\}\)