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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=\frac{987}{340}\\-5x-y=\frac{-285}{68}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+y=3\\-4x-6y=-2\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-4y=\frac{-26}{99}\\x-2y=\frac{-13}{99}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{23}{4}\\6x=-y+\frac{-151}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-44}{9}+5x\\-6x+4y=\frac{16}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=\frac{116}{15}\\-3x+y=\frac{-23}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+3y=\frac{-418}{7}\\x+3y=\frac{-388}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{111}{14}+5x\\-x-y=\frac{129}{70}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-2y=11\\-6x+y=\frac{157}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{-222}{7}\\4x+y=\frac{-151}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{221}{15}-6x\\x-6y=\frac{538}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=1\\x=y+\frac{-3}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=\frac{987}{340}\\-5x-y=\frac{-285}{68}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-1}{17})\}\)
2. \(\left\{\begin{matrix}-2x+y=3\\-4x-6y=-2\end{matrix}\right.\qquad V=\{(-1,1)\}\)
3. \(\left\{\begin{matrix}2x-4y=\frac{-26}{99}\\x-2y=\frac{-13}{99}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{5}{11})\}\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{23}{4}\\6x=-y+\frac{-151}{12}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{12})\}\)
5. \(\left\{\begin{matrix}y=\frac{-44}{9}+5x\\-6x+4y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{16}{9},4)\}\)
6. \(\left\{\begin{matrix}6x+5y=\frac{116}{15}\\-3x+y=\frac{-23}{15}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{2}{3})\}\)
7. \(\left\{\begin{matrix}4x+3y=\frac{-418}{7}\\x+3y=\frac{-388}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},-18)\}\)
8. \(\left\{\begin{matrix}-3y=\frac{111}{14}+5x\\-x-y=\frac{129}{70}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-9}{14})\}\)
9. \(\left\{\begin{matrix}-2x-2y=11\\-6x+y=\frac{157}{2}\end{matrix}\right.\qquad V=\{(-12,\frac{13}{2})\}\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{-222}{7}\\4x+y=\frac{-151}{14}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-17}{2})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{221}{15}-6x\\x-6y=\frac{538}{45}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-19}{10})\}\)
12. \(\left\{\begin{matrix}-6x+5y=1\\x=y+\frac{-3}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{4}{5})\}\)