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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{-14}{3}-3x\\-3x-2y=\frac{10}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-81}{5}\\-x-5y=12\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=3+x\\-6x-3y=-15\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{61}{33}-5x\\-x+5y=\frac{89}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-347}{14}+5x\\-3x-y=\frac{-181}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-2y=\frac{106}{51}\\-6x=y+\frac{-91}{51}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{542}{99}+4x\\-x+2y=\frac{163}{99}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-4y=36\\6x+y=-44\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+4y=\frac{572}{105}\\3x=-4y+\frac{932}{105}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-152}{13}-x\\6x+6y=\frac{-1668}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+y=\frac{-80}{7}\\4x=4y+\frac{288}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-3y=\frac{-146}{9}\\x=-y+\frac{46}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{-14}{3}-3x\\-3x-2y=\frac{10}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{4}{3})\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-81}{5}\\-x-5y=12\end{matrix}\right.\qquad V=\{(-1,\frac{-11}{5})\}\)
3. \(\left\{\begin{matrix}-6y=3+x\\-6x-3y=-15\end{matrix}\right.\qquad V=\{(3,-1)\}\)
4. \(\left\{\begin{matrix}-2y=\frac{61}{33}-5x\\-x+5y=\frac{89}{33}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-347}{14}+5x\\-3x-y=\frac{-181}{14}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{17}{7})\}\)
6. \(\left\{\begin{matrix}4x-2y=\frac{106}{51}\\-6x=y+\frac{-91}{51}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}4y=\frac{542}{99}+4x\\-x+2y=\frac{163}{99}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{5}{18})\}\)
8. \(\left\{\begin{matrix}-4x-4y=36\\6x+y=-44\end{matrix}\right.\qquad V=\{(-7,-2)\}\)
9. \(\left\{\begin{matrix}x+4y=\frac{572}{105}\\3x=-4y+\frac{932}{105}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{14}{15})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-152}{13}-x\\6x+6y=\frac{-1668}{13}\end{matrix}\right.\qquad V=\{(-20,\frac{-18}{13})\}\)
11. \(\left\{\begin{matrix}-5x+y=\frac{-80}{7}\\4x=4y+\frac{288}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},-10)\}\)
12. \(\left\{\begin{matrix}-2x-3y=\frac{-146}{9}\\x=-y+\frac{46}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},6)\}\)