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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=\frac{329}{10}\\-4x+y=\frac{111}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{1644}{19}+6x\\4x-y=\frac{-241}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-5y=\frac{-309}{14}\\2x=y+\frac{-129}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{107}{16}\\-5x-y=\frac{129}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{5}{2}+6x\\5x+5y=\frac{-55}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-11}{3}-6x\\5x+6y=\frac{-13}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-6y=\frac{1268}{119}\\x-y=\frac{-38}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{151}{99}\\-x=6y+\frac{-764}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+5y=\frac{-625}{34}\\-2x=-3y+\frac{-297}{34}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+3y=\frac{69}{35}\\-6x+y=\frac{-173}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{-211}{76}\\4x=y+\frac{103}{152}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=8-4x\\6x-y=\frac{35}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=\frac{329}{10}\\-4x+y=\frac{111}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-5}{2})\}\)
2. \(\left\{\begin{matrix}6y=\frac{1644}{19}+6x\\4x-y=\frac{-241}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},15)\}\)
3. \(\left\{\begin{matrix}4x-5y=\frac{-309}{14}\\2x=y+\frac{-129}{14}\end{matrix}\right.\qquad V=\{(-4,\frac{17}{14})\}\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{107}{16}\\-5x-y=\frac{129}{16}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{1}{16})\}\)
5. \(\left\{\begin{matrix}y=\frac{5}{2}+6x\\5x+5y=\frac{-55}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-2)\}\)
6. \(\left\{\begin{matrix}y=\frac{-11}{3}-6x\\5x+6y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-2}{3})\}\)
7. \(\left\{\begin{matrix}-5x-6y=\frac{1268}{119}\\x-y=\frac{-38}{119}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-14}{17})\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{151}{99}\\-x=6y+\frac{-764}{99}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{17}{11})\}\)
9. \(\left\{\begin{matrix}x+5y=\frac{-625}{34}\\-2x=-3y+\frac{-297}{34}\end{matrix}\right.\qquad V=\{(\frac{-15}{17},\frac{-7}{2})\}\)
10. \(\left\{\begin{matrix}3x+3y=\frac{69}{35}\\-6x+y=\frac{-173}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-1}{7})\}\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{-211}{76}\\4x=y+\frac{103}{152}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{3}{8})\}\)
12. \(\left\{\begin{matrix}3y=8-4x\\6x-y=\frac{35}{2}\end{matrix}\right.\qquad V=\{(\frac{11}{4},-1)\}\)