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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+2y=\frac{-24}{5}\\3x=-y+\frac{-17}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{105}{4}-5x\\3x-y=\frac{61}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-3y=\frac{241}{85}\\-x-y=\frac{241}{255}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-164}{91}\\x+2y=\frac{142}{91}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-228}{77}+3x\\-2x-4y=\frac{-362}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-y=\frac{1047}{88}\\-4x+3y=\frac{103}{22}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-3y=\frac{370}{77}\\-x=-2y+\frac{-221}{77}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-4y=\frac{47}{15}\\6x-3y=\frac{-49}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-3y=\frac{-990}{133}\\x-y=\frac{-235}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+4y=\frac{-48}{7}\\-x=-5y+\frac{38}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-y=\frac{-8}{3}\\-3x=3y+\frac{41}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-2y=\frac{-104}{45}\\5x+6y=\frac{-88}{45}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+2y=\frac{-24}{5}\\3x=-y+\frac{-17}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-2}{5})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{105}{4}-5x\\3x-y=\frac{61}{4}\end{matrix}\right.\qquad V=\{(5,\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}-3x-3y=\frac{241}{85}\\-x-y=\frac{241}{255}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{-8}{15})\}\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-164}{91}\\x+2y=\frac{142}{91}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{6}{7})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-228}{77}+3x\\-2x-4y=\frac{-362}{77}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{9}{11})\}\)
6. \(\left\{\begin{matrix}-5x-y=\frac{1047}{88}\\-4x+3y=\frac{103}{22}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{-14}{11})\}\)
7. \(\left\{\begin{matrix}5x-3y=\frac{370}{77}\\-x=-2y+\frac{-221}{77}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-15}{11})\}\)
8. \(\left\{\begin{matrix}-x-4y=\frac{47}{15}\\6x-3y=\frac{-49}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}6x-3y=\frac{-990}{133}\\x-y=\frac{-235}{133}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{20}{19})\}\)
10. \(\left\{\begin{matrix}2x+4y=\frac{-48}{7}\\-x=-5y+\frac{38}{7}\end{matrix}\right.\qquad V=\{(-4,\frac{2}{7})\}\)
11. \(\left\{\begin{matrix}4x-y=\frac{-8}{3}\\-3x=3y+\frac{41}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-5}{6})\}\)
12. \(\left\{\begin{matrix}x-2y=\frac{-104}{45}\\5x+6y=\frac{-88}{45}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{3}{5})\}\)