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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+5y=\frac{-188}{17}\\x=-5y+\frac{-86}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{-107}{90}\\3x+4y=\frac{7}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-33}{5}\\2x-6y=\frac{6}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{29}{9}\\4x=y+\frac{-1}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-46}{15}+2x\\-x-2y=\frac{-23}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{597}{88}\\-x-3y=\frac{25}{88}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-5y=\frac{565}{133}\\-x-2y=\frac{17}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-109}{5}\\6x-2y=\frac{194}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{85}{6}\\-5x=y+\frac{-173}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-219}{17}-6x\\x+4y=\frac{-139}{34}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-5y=-8\\x=4y+\frac{7}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+3y=\frac{-142}{39}\\x-5y=\frac{215}{117}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+5y=\frac{-188}{17}\\x=-5y+\frac{-86}{17}\end{matrix}\right.\qquad V=\{(-3,\frac{-7}{17})\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{-107}{90}\\3x+4y=\frac{7}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{-8}{15})\}\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-33}{5}\\2x-6y=\frac{6}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{29}{9}\\4x=y+\frac{-1}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{10}{9})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-46}{15}+2x\\-x-2y=\frac{-23}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{597}{88}\\-x-3y=\frac{25}{88}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{-7}{11})\}\)
7. \(\left\{\begin{matrix}3x-5y=\frac{565}{133}\\-x-2y=\frac{17}{133}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-8}{19})\}\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-109}{5}\\6x-2y=\frac{194}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},-17)\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{85}{6}\\-5x=y+\frac{-173}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{18},6)\}\)
10. \(\left\{\begin{matrix}6y=\frac{-219}{17}-6x\\x+4y=\frac{-139}{34}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-11}{17})\}\)
11. \(\left\{\begin{matrix}-2x-5y=-8\\x=4y+\frac{7}{5}\end{matrix}\right.\qquad V=\{(3,\frac{2}{5})\}\)
12. \(\left\{\begin{matrix}6x+3y=\frac{-142}{39}\\x-5y=\frac{215}{117}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-4}{9})\}\)