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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-6y=-13\\-x=y+\frac{-1}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-5y=\frac{373}{90}\\-4x=3y+\frac{-41}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=\frac{315}{76}\\-x=-6y+\frac{87}{76}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-33}{4}+5x\\-x-4y=\frac{-15}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-3y=4\\-4x=y+\frac{-61}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-59}{6}\\-5x-y=\frac{31}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-22}{57}-2x\\-2x+y=\frac{49}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-3}{4}+5x\\-2x+y=\frac{4}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-2y=\frac{499}{40}\\x-y=\frac{-83}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+2y=\frac{-608}{35}\\-x=3y+\frac{128}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-1045}{119}-2x\\-2x-y=\frac{163}{119}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+6y=\frac{-283}{21}\\-3x-2y=\frac{-37}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-6y=-13\\-x=y+\frac{-1}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{7}{6})\}\)
2. \(\left\{\begin{matrix}-x-5y=\frac{373}{90}\\-4x=3y+\frac{-41}{30}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{-19}{18})\}\)
3. \(\left\{\begin{matrix}3x+6y=\frac{315}{76}\\-x=-6y+\frac{87}{76}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{6}{19})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-33}{4}+5x\\-x-4y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{3}{4})\}\)
5. \(\left\{\begin{matrix}3x-3y=4\\-4x=y+\frac{-61}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{3},3)\}\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-59}{6}\\-5x-y=\frac{31}{3}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-22}{57}-2x\\-2x+y=\frac{49}{57}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-9}{19})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-3}{4}+5x\\-2x+y=\frac{4}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{1}{2})\}\)
9. \(\left\{\begin{matrix}-5x-2y=\frac{499}{40}\\x-y=\frac{-83}{40}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-3}{10})\}\)
10. \(\left\{\begin{matrix}6x+2y=\frac{-608}{35}\\-x=3y+\frac{128}{35}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-2}{7})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-1045}{119}-2x\\-2x-y=\frac{163}{119}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{18}{17})\}\)
12. \(\left\{\begin{matrix}x+6y=\frac{-283}{21}\\-3x-2y=\frac{-37}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-20}{7})\}\)