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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{-62}{9}\\3x=y+\frac{-1}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+5y=\frac{-46}{7}\\2x=y+\frac{-34}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-6y=\frac{-59}{15}\\-x=-2y+\frac{59}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-127}{4}\\5x-2y=\frac{143}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-4y=\frac{174}{11}\\x=2y+\frac{107}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+4y=\frac{-4}{5}\\6x-y=\frac{-29}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-2y=\frac{-86}{45}\\x=-5y+\frac{16}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{1659}{247}+5x\\-x-3y=\frac{708}{247}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-3y=\frac{461}{340}\\-3x=2y+\frac{337}{170}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=-16+x\\-2x-3y=58\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+y=\frac{43}{6}\\-3x-6y=\frac{-31}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+5y=\frac{63}{4}\\-6x-y=\frac{249}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{-62}{9}\\3x=y+\frac{-1}{6}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}2x+5y=\frac{-46}{7}\\2x=y+\frac{-34}{7}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-2}{7})\}\)
3. \(\left\{\begin{matrix}3x-6y=\frac{-59}{15}\\-x=-2y+\frac{59}{45}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{4}{15})\}\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-127}{4}\\5x-2y=\frac{143}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{3},\frac{9}{4})\}\)
5. \(\left\{\begin{matrix}6x-4y=\frac{174}{11}\\x=2y+\frac{107}{33}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-5}{11})\}\)
6. \(\left\{\begin{matrix}6x+4y=\frac{-4}{5}\\6x-y=\frac{-29}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},1)\}\)
7. \(\left\{\begin{matrix}5x-2y=\frac{-86}{45}\\x=-5y+\frac{16}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{2}{5})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{1659}{247}+5x\\-x-3y=\frac{708}{247}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{-9}{13})\}\)
9. \(\left\{\begin{matrix}x-3y=\frac{461}{340}\\-3x=2y+\frac{337}{170}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{-11}{20})\}\)
10. \(\left\{\begin{matrix}y=-16+x\\-2x-3y=58\end{matrix}\right.\qquad V=\{(-2,-18)\}\)
11. \(\left\{\begin{matrix}-5x+y=\frac{43}{6}\\-3x-6y=\frac{-31}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},3)\}\)
12. \(\left\{\begin{matrix}-3x+5y=\frac{63}{4}\\-6x-y=\frac{249}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{3}{5})\}\)