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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-2y=-22\\-x=y+-5\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-49}{3}\\-x-6y=\frac{125}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=13-x\\-6x-4y=2\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=-11\\-2x=2y+-14\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+6y=\frac{123}{26}\\x+2y=\frac{41}{26}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+y=\frac{77}{12}\\5x=-3y+\frac{-137}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-6y=\frac{106}{45}\\-x-y=\frac{-49}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{290}{9}+2x\\-5x-y=\frac{886}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-121}{10}\\3x+6y=\frac{171}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-2y=-8\\3x+y=\frac{17}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-2y=\frac{-35}{12}\\x+4y=\frac{-77}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+3y=\frac{-46}{255}\\-5x=-y+\frac{74}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-2y=-22\\-x=y+-5\end{matrix}\right.\qquad V=\{(4,1)\}\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-49}{3}\\-x-6y=\frac{125}{12}\end{matrix}\right.\qquad V=\{(\frac{19}{12},-2)\}\)
3. \(\left\{\begin{matrix}-6y=13-x\\-6x-4y=2\end{matrix}\right.\qquad V=\{(1,-2)\}\)
4. \(\left\{\begin{matrix}-x-5y=-11\\-2x=2y+-14\end{matrix}\right.\qquad V=\{(6,1)\}\)
5. \(\left\{\begin{matrix}3x+6y=\frac{123}{26}\\x+2y=\frac{41}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{3}{4})\}\)
6. \(\left\{\begin{matrix}-6x+y=\frac{77}{12}\\5x=-3y+\frac{-137}{12}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-19}{12})\}\)
7. \(\left\{\begin{matrix}4x-6y=\frac{106}{45}\\-x-y=\frac{-49}{45}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{290}{9}+2x\\-5x-y=\frac{886}{9}\end{matrix}\right.\qquad V=\{(-20,\frac{14}{9})\}\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-121}{10}\\3x+6y=\frac{171}{10}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{8}{5})\}\)
10. \(\left\{\begin{matrix}-3x-2y=-8\\3x+y=\frac{17}{2}\end{matrix}\right.\qquad V=\{(3,\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}3x-2y=\frac{-35}{12}\\x+4y=\frac{-77}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-7}{6})\}\)
12. \(\left\{\begin{matrix}2x+3y=\frac{-46}{255}\\-5x=-y+\frac{74}{51}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{2}{17})\}\)