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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+2y=\frac{99}{7}\\4x+y=\frac{-97}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{13}{7}\\x+y=\frac{31}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-6y=-68\\x=6y+-65\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-1}{10}\\5x=2y+\frac{-61}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-1350}{119}+5x\\x-5y=\frac{1630}{119}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{178}{85}\\x=y+\frac{-41}{170}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-96}{5}-x\\-3x+4y=\frac{193}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-2y=\frac{930}{187}\\-4x=y+\frac{-63}{187}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-y=\frac{-324}{17}\\-5x+4y=\frac{1639}{102}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+5y=\frac{34}{3}\\-3x=-y+\frac{-4}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{-2}{3}\\4x+y=\frac{-31}{60}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-73}{24}\\-x=6y+\frac{91}{24}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+2y=\frac{99}{7}\\4x+y=\frac{-97}{14}\end{matrix}\right.\qquad V=\{(-2,\frac{15}{14})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{13}{7}\\x+y=\frac{31}{14}\end{matrix}\right.\qquad V=\{(\frac{17}{14},1)\}\)
3. \(\left\{\begin{matrix}-2x-6y=-68\\x=6y+-65\end{matrix}\right.\qquad V=\{(1,11)\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-1}{10}\\5x=2y+\frac{-61}{10}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{20})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-1350}{119}+5x\\x-5y=\frac{1630}{119}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{-20}{7})\}\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{178}{85}\\x=y+\frac{-41}{170}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-1}{17})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-96}{5}-x\\-3x+4y=\frac{193}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{19}{2})\}\)
8. \(\left\{\begin{matrix}4x-2y=\frac{930}{187}\\-4x=y+\frac{-63}{187}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{-17}{11})\}\)
9. \(\left\{\begin{matrix}6x-y=\frac{-324}{17}\\-5x+4y=\frac{1639}{102}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{1}{17})\}\)
10. \(\left\{\begin{matrix}3x+5y=\frac{34}{3}\\-3x=-y+\frac{-4}{3}\end{matrix}\right.\qquad V=\{(1,\frac{5}{3})\}\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{-2}{3}\\4x+y=\frac{-31}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{-1}{4})\}\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-73}{24}\\-x=6y+\frac{91}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-11}{16})\}\)