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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-2y=\frac{-157}{30}\\x=y+\frac{-223}{90}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=-40+3x\\-x+y=\frac{-29}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-3y=\frac{-245}{4}\\x=y+\frac{-79}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{11}{3}-6x\\-4x-y=-2\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-400}{77}-x\\-3x+3y=\frac{375}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+3y=\frac{-324}{65}\\-x+4y=\frac{288}{65}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{11}{12}+3x\\-2x+5y=\frac{-52}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-4y=\frac{-402}{13}\\-3x=-y+\frac{265}{26}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+y=\frac{-71}{20}\\-6x-6y=\frac{73}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-1}{12}+5x\\-x+y=\frac{11}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-3y=\frac{-13}{5}\\-x=5y+5\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-y=\frac{719}{130}\\4x=-5y+\frac{97}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-2y=\frac{-157}{30}\\x=y+\frac{-223}{90}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{11}{5})\}\)
2. \(\left\{\begin{matrix}4y=-40+3x\\-x+y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-11)\}\)
3. \(\left\{\begin{matrix}-5x-3y=\frac{-245}{4}\\x=y+\frac{-79}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},20)\}\)
4. \(\left\{\begin{matrix}2y=\frac{11}{3}-6x\\-4x-y=-2\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{4}{3})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-400}{77}-x\\-3x+3y=\frac{375}{77}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{5}{7})\}\)
6. \(\left\{\begin{matrix}6x+3y=\frac{-324}{65}\\-x+4y=\frac{288}{65}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}-y=\frac{11}{12}+3x\\-2x+5y=\frac{-52}{3}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-19}{6})\}\)
8. \(\left\{\begin{matrix}4x-4y=\frac{-402}{13}\\-3x=-y+\frac{265}{26}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{13}{2})\}\)
9. \(\left\{\begin{matrix}6x+y=\frac{-71}{20}\\-6x-6y=\frac{73}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-3}{4})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-1}{12}+5x\\-x+y=\frac{11}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}-2x-3y=\frac{-13}{5}\\-x=5y+5\end{matrix}\right.\qquad V=\{(4,\frac{-9}{5})\}\)
12. \(\left\{\begin{matrix}4x-y=\frac{719}{130}\\4x=-5y+\frac{97}{26}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-3}{10})\}\)