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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-y=\frac{-4}{5}\\5x+3y=\frac{-56}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-2y=\frac{-1}{2}\\-x-4y=\frac{3}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{-278}{3}\\-x+3y=-22\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-654}{247}\\4x=y+\frac{-927}{247}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+3y=\frac{-17}{4}\\-4x=-2y+\frac{-26}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+5y=\frac{71}{7}\\x=-2y+\frac{149}{70}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{109}{24}+5x\\4x+y=\frac{-205}{48}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-2y=0\\2x-y=\frac{-14}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-235}{99}\\-5x-y=\frac{439}{99}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+4y=\frac{214}{9}\\2x-y=\frac{122}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-6y=\frac{-157}{17}\\-x+y=\frac{-5}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+2y=\frac{-15}{4}\\4x=y+\frac{31}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-y=\frac{-4}{5}\\5x+3y=\frac{-56}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-12}{5})\}\)
2. \(\left\{\begin{matrix}-3x-2y=\frac{-1}{2}\\-x-4y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{-278}{3}\\-x+3y=-22\end{matrix}\right.\qquad V=\{(18,\frac{-4}{3})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-654}{247}\\4x=y+\frac{-927}{247}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{7}{19})\}\)
5. \(\left\{\begin{matrix}x+3y=\frac{-17}{4}\\-4x=-2y+\frac{-26}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-11}{6})\}\)
6. \(\left\{\begin{matrix}-2x+5y=\frac{71}{7}\\x=-2y+\frac{149}{70}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{8}{5})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{109}{24}+5x\\4x+y=\frac{-205}{48}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{17}{16})\}\)
8. \(\left\{\begin{matrix}-4x-2y=0\\2x-y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{7}{3})\}\)
9. \(\left\{\begin{matrix}2x-5y=\frac{-235}{99}\\-5x-y=\frac{439}{99}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{1}{9})\}\)
10. \(\left\{\begin{matrix}5x+4y=\frac{214}{9}\\2x-y=\frac{122}{9}\end{matrix}\right.\qquad V=\{(6,\frac{-14}{9})\}\)
11. \(\left\{\begin{matrix}-5x-6y=\frac{-157}{17}\\-x+y=\frac{-5}{17}\end{matrix}\right.\qquad V=\{(1,\frac{12}{17})\}\)
12. \(\left\{\begin{matrix}-4x+2y=\frac{-15}{4}\\4x=y+\frac{31}{8}\end{matrix}\right.\qquad V=\{(1,\frac{1}{8})\}\)