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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-y=\frac{-16}{9}\\3x+2y=\frac{-29}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=20-4x\\-x+3y=44\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+3y=\frac{99}{10}\\x=6y+\frac{-106}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+y=\frac{-573}{77}\\-5x-3y=\frac{949}{77}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+6y=\frac{4}{3}\\6x+4y=\frac{104}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{161}{22}\\-3x-3y=\frac{483}{22}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+3y=\frac{33}{14}\\4x=5y+\frac{-83}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+y=\frac{277}{143}\\-5x=-6y+\frac{-142}{143}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-107}{119}+4x\\3x-y=\frac{59}{119}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{-194}{15}\\4x=-y+\frac{251}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+5y=\frac{-15}{28}\\-3x-4y=\frac{114}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{29}{2}\\-6x-5y=\frac{433}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-y=\frac{-16}{9}\\3x+2y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},-2)\}\)
2. \(\left\{\begin{matrix}2y=20-4x\\-x+3y=44\end{matrix}\right.\qquad V=\{(-2,14)\}\)
3. \(\left\{\begin{matrix}3x+3y=\frac{99}{10}\\x=6y+\frac{-106}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{7}{2})\}\)
4. \(\left\{\begin{matrix}4x+y=\frac{-573}{77}\\-5x-3y=\frac{949}{77}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-19}{11})\}\)
5. \(\left\{\begin{matrix}x+6y=\frac{4}{3}\\6x+4y=\frac{104}{9}\end{matrix}\right.\qquad V=\{(2,\frac{-1}{9})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{161}{22}\\-3x-3y=\frac{483}{22}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{-17}{2})\}\)
7. \(\left\{\begin{matrix}-x+3y=\frac{33}{14}\\4x=5y+\frac{-83}{14}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}6x+y=\frac{277}{143}\\-5x=-6y+\frac{-142}{143}\end{matrix}\right.\qquad V=\{(\frac{4}{13},\frac{1}{11})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-107}{119}+4x\\3x-y=\frac{59}{119}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-1}{7})\}\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{-194}{15}\\4x=-y+\frac{251}{15}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{-19}{15})\}\)
11. \(\left\{\begin{matrix}x+5y=\frac{-15}{28}\\-3x-4y=\frac{114}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{3}{20})\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{29}{2}\\-6x-5y=\frac{433}{4}\end{matrix}\right.\qquad V=\{(-17,\frac{-5}{4})\}\)