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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-6y=\frac{-284}{85}\\-x-y=\frac{321}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+6y=14\\-4x=y+1\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-13}{4}-5x\\-5x+y=\frac{1}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-6y=\frac{67}{10}\\6x+6y=\frac{9}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+4y=\frac{1212}{17}\\-4x-y=\frac{1312}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=8\\4x+3y=4\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-4y=\frac{-134}{7}\\x=-y+\frac{-149}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-3y=\frac{133}{40}\\3x=3y+\frac{741}{40}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{11}{4}+5x\\-x-4y=\frac{31}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-31}{247}+2x\\-4x+6y=\frac{-946}{247}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+3y=\frac{213}{20}\\x=-6y+\frac{63}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{23}{35}-2x\\4x+2y=\frac{46}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-6y=\frac{-284}{85}\\-x-y=\frac{321}{85}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{-20}{17})\}\)
2. \(\left\{\begin{matrix}4x+6y=14\\-4x=y+1\end{matrix}\right.\qquad V=\{(-1,3)\}\)
3. \(\left\{\begin{matrix}2y=\frac{-13}{4}-5x\\-5x+y=\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-1)\}\)
4. \(\left\{\begin{matrix}x-6y=\frac{67}{10}\\6x+6y=\frac{9}{2}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-17}{20})\}\)
5. \(\left\{\begin{matrix}-4x+4y=\frac{1212}{17}\\-4x-y=\frac{1312}{17}\end{matrix}\right.\qquad V=\{(-19,\frac{-20}{17})\}\)
6. \(\left\{\begin{matrix}3x+y=8\\4x+3y=4\end{matrix}\right.\qquad V=\{(4,-4)\}\)
7. \(\left\{\begin{matrix}6x-4y=\frac{-134}{7}\\x=-y+\frac{-149}{42}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-3}{14})\}\)
8. \(\left\{\begin{matrix}-x-3y=\frac{133}{40}\\3x=3y+\frac{741}{40}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-19}{8})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{11}{4}+5x\\-x-4y=\frac{31}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-2)\}\)
10. \(\left\{\begin{matrix}y=\frac{-31}{247}+2x\\-4x+6y=\frac{-946}{247}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-17}{19})\}\)
11. \(\left\{\begin{matrix}3x+3y=\frac{213}{20}\\x=-6y+\frac{63}{10}\end{matrix}\right.\qquad V=\{(3,\frac{11}{20})\}\)
12. \(\left\{\begin{matrix}y=\frac{23}{35}-2x\\4x+2y=\frac{46}{35}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-11}{5})\}\)