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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{55}{13}+4x\\x+3y=\frac{31}{26}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+2y=\frac{310}{51}\\x=-5y+\frac{515}{102}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-2y=\frac{5}{3}\\3x=-y+\frac{13}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-6y=-95\\-2x+y=\frac{31}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{11}{3}\\x+5y=\frac{-1}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+6y=\frac{6}{11}\\-x=-2y+\frac{37}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-223}{154}+x\\-4x-2y=\frac{-281}{77}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-4y=\frac{62}{5}\\x=-2y+\frac{11}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{851}{165}-2x\\x-3y=\frac{493}{165}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=\frac{-107}{36}\\-4x-6y=\frac{-37}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+5y=-55\\x-2y=14\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-6}{11}\\-4x=-y+\frac{58}{55}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{55}{13}+4x\\x+3y=\frac{31}{26}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}5x+2y=\frac{310}{51}\\x=-5y+\frac{515}{102}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{5}{6})\}\)
3. \(\left\{\begin{matrix}2x-2y=\frac{5}{3}\\3x=-y+\frac{13}{2}\end{matrix}\right.\qquad V=\{(\frac{11}{6},1)\}\)
4. \(\left\{\begin{matrix}4x-6y=-95\\-2x+y=\frac{31}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{4},16)\}\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{11}{3}\\x+5y=\frac{-1}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{1}{6})\}\)
6. \(\left\{\begin{matrix}4x+6y=\frac{6}{11}\\-x=-2y+\frac{37}{11}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},1)\}\)
7. \(\left\{\begin{matrix}y=\frac{-223}{154}+x\\-4x-2y=\frac{-281}{77}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-5}{14})\}\)
8. \(\left\{\begin{matrix}4x-4y=\frac{62}{5}\\x=-2y+\frac{11}{20}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-17}{20})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{851}{165}-2x\\x-3y=\frac{493}{165}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{-9}{11})\}\)
10. \(\left\{\begin{matrix}3x-y=\frac{-107}{36}\\-4x-6y=\frac{-37}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{20}{9})\}\)
11. \(\left\{\begin{matrix}-5x+5y=-55\\x-2y=14\end{matrix}\right.\qquad V=\{(8,-3)\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-6}{11}\\-4x=-y+\frac{58}{55}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{-2}{5})\}\)