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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+y=\frac{97}{3}\\-3x-2y=\frac{31}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-5y=\frac{-55}{2}\\-x-2y=-5\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+6y=\frac{-701}{80}\\-x+4y=\frac{-359}{80}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{12}{11}+x\\3x-6y=\frac{-93}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-5y=\frac{221}{20}\\3x+2y=\frac{-51}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-3y=\frac{146}{117}\\x+5y=\frac{-122}{117}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-2y=\frac{44}{57}\\4x-y=\frac{61}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+6y=\frac{19}{4}\\-4x=-y+4\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{-18}{19}\\3x=-y+\frac{-31}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{73}{15}\\x+4y=\frac{29}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{158}{3}\\x-y=\frac{-101}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+6y=\frac{-201}{35}\\x=y+\frac{-33}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+y=\frac{97}{3}\\-3x-2y=\frac{31}{3}\end{matrix}\right.\qquad V=\{(-5,\frac{7}{3})\}\)
2. \(\left\{\begin{matrix}5x-5y=\frac{-55}{2}\\-x-2y=-5\end{matrix}\right.\qquad V=\{(-2,\frac{7}{2})\}\)
3. \(\left\{\begin{matrix}5x+6y=\frac{-701}{80}\\-x+4y=\frac{-359}{80}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{-6}{5})\}\)
4. \(\left\{\begin{matrix}y=\frac{12}{11}+x\\3x-6y=\frac{-93}{11}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{19}{11})\}\)
5. \(\left\{\begin{matrix}x-5y=\frac{221}{20}\\3x+2y=\frac{-51}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-9}{4})\}\)
6. \(\left\{\begin{matrix}5x-3y=\frac{146}{117}\\x+5y=\frac{-122}{117}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-3}{13})\}\)
7. \(\left\{\begin{matrix}6x-2y=\frac{44}{57}\\4x-y=\frac{61}{57}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{5}{3})\}\)
8. \(\left\{\begin{matrix}-2x+6y=\frac{19}{4}\\-4x=-y+4\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{1}{2})\}\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{-18}{19}\\3x=-y+\frac{-31}{19}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},-1)\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{73}{15}\\x+4y=\frac{29}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{4}{3})\}\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{158}{3}\\x-y=\frac{-101}{12}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-13}{12})\}\)
12. \(\left\{\begin{matrix}-3x+6y=\frac{-201}{35}\\x=y+\frac{-33}{35}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{-20}{7})\}\)