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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+3y=\frac{-702}{85}\\x-5y=\frac{-54}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{1816}{133}\\-x-3y=\frac{-1119}{133}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{463}{104}\\x=y+\frac{-229}{208}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-4y=\frac{158}{63}\\-6x=y+\frac{271}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+y=\frac{146}{13}\\4x+3y=\frac{308}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-38}{7}-2x\\-4x+y=\frac{24}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-2y=10\\4x-y=\frac{-13}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=-24\\x=y+\frac{16}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=\frac{-91}{36}\\x-6y=\frac{-67}{24}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{-447}{40}\\4x=y+\frac{39}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-31}{5}+3x\\-x-4y=\frac{-161}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-193}{17}+x\\6x-4y=\frac{70}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+3y=\frac{-702}{85}\\x-5y=\frac{-54}{85}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-6}{17})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{1816}{133}\\-x-3y=\frac{-1119}{133}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{20}{7})\}\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{463}{104}\\x=y+\frac{-229}{208}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{9}{16})\}\)
4. \(\left\{\begin{matrix}2x-4y=\frac{158}{63}\\-6x=y+\frac{271}{21}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{-11}{7})\}\)
5. \(\left\{\begin{matrix}2x+y=\frac{146}{13}\\4x+3y=\frac{308}{13}\end{matrix}\right.\qquad V=\{(5,\frac{16}{13})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-38}{7}-2x\\-4x+y=\frac{24}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{7})\}\)
7. \(\left\{\begin{matrix}-6x-2y=10\\4x-y=\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-1)\}\)
8. \(\left\{\begin{matrix}-6x+4y=-24\\x=y+\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},-4)\}\)
9. \(\left\{\begin{matrix}6x-4y=\frac{-91}{36}\\x-6y=\frac{-67}{24}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{4}{9})\}\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{-447}{40}\\4x=y+\frac{39}{5}\end{matrix}\right.\qquad V=\{(\frac{15}{8},\frac{-3}{10})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-31}{5}+3x\\-x-4y=\frac{-161}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{13}{5})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-193}{17}+x\\6x-4y=\frac{70}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},-2)\}\)