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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{32}{3}-x\\2x+5y=\frac{55}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=-7\\-x+5y=\frac{37}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-5}{9}+4x\\x+6y=\frac{55}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-57}{35}+3x\\-x+3y=\frac{-43}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=\frac{574}{39}\\3x=y+\frac{113}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-25}{2}\\2x-3y=\frac{219}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+3y=\frac{-71}{3}\\4x+y=\frac{-67}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-48}{187}\\-x=-6y+\frac{639}{187}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+3y=\frac{-262}{65}\\-x-y=\frac{262}{195}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=-1+6x\\-6x+3y=-5\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{-34}{11}\\x=-2y+\frac{64}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-5y=\frac{-103}{12}\\4x-4y=\frac{-23}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{32}{3}-x\\2x+5y=\frac{55}{3}\end{matrix}\right.\qquad V=\{(10,\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}-2x-6y=-7\\-x+5y=\frac{37}{10}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{9}{10})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-5}{9}+4x\\x+6y=\frac{55}{12}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{8}{9})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-57}{35}+3x\\-x+3y=\frac{-43}{70}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-1}{14})\}\)
5. \(\left\{\begin{matrix}5x-2y=\frac{574}{39}\\3x=y+\frac{113}{13}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-9}{13})\}\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-25}{2}\\2x-3y=\frac{219}{10}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-13}{2})\}\)
7. \(\left\{\begin{matrix}2x+3y=\frac{-71}{3}\\4x+y=\frac{-67}{3}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},-5)\}\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-48}{187}\\-x=-6y+\frac{639}{187}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{12}{17})\}\)
9. \(\left\{\begin{matrix}3x+3y=\frac{-262}{65}\\-x-y=\frac{262}{195}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{-4}{15})\}\)
10. \(\left\{\begin{matrix}y=-1+6x\\-6x+3y=-5\end{matrix}\right.\qquad V=\{(\frac{-1}{6},-2)\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{-34}{11}\\x=-2y+\frac{64}{11}\end{matrix}\right.\qquad V=\{(\frac{20}{11},2)\}\)
12. \(\left\{\begin{matrix}x-5y=\frac{-103}{12}\\4x-4y=\frac{-23}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{5}{3})\}\)