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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{674}{51}\\5x-y=\frac{185}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+4y=\frac{-898}{105}\\2x-y=\frac{-113}{105}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{180}{247}+x\\-3x+5y=\frac{-2044}{247}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+6y=5\\6x=y+\frac{-23}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-y=\frac{-103}{12}\\-3x=3y+\frac{-59}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{895}{91}\\x=-4y+\frac{250}{91}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-y=1\\6x-6y=-12\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=-14+5x\\x-y=-2\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{19}{4}\\x+3y=\frac{23}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-3y=\frac{-17}{3}\\x=3y+\frac{8}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+4y=\frac{-31}{9}\\3x+6y=\frac{-29}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+2y=\frac{87}{10}\\x+y=\frac{27}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{674}{51}\\5x-y=\frac{185}{51}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{-10}{3})\}\)
2. \(\left\{\begin{matrix}4x+4y=\frac{-898}{105}\\2x-y=\frac{-113}{105}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{-16}{15})\}\)
3. \(\left\{\begin{matrix}-y=\frac{180}{247}+x\\-3x+5y=\frac{-2044}{247}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-17}{13})\}\)
4. \(\left\{\begin{matrix}-4x+6y=5\\6x=y+\frac{-23}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}-5x-y=\frac{-103}{12}\\-3x=3y+\frac{-59}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{12},4)\}\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{895}{91}\\x=-4y+\frac{250}{91}\end{matrix}\right.\qquad V=\{(\frac{-20}{13},\frac{15}{14})\}\)
7. \(\left\{\begin{matrix}-2x-y=1\\6x-6y=-12\end{matrix}\right.\qquad V=\{(-1,1)\}\)
8. \(\left\{\begin{matrix}-3y=-14+5x\\x-y=-2\end{matrix}\right.\qquad V=\{(1,3)\}\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{19}{4}\\x+3y=\frac{23}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},2)\}\)
10. \(\left\{\begin{matrix}-4x-3y=\frac{-17}{3}\\x=3y+\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-1}{3})\}\)
11. \(\left\{\begin{matrix}-x+4y=\frac{-31}{9}\\3x+6y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-10}{9})\}\)
12. \(\left\{\begin{matrix}6x+2y=\frac{87}{10}\\x+y=\frac{27}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-3}{20})\}\)