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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+3y=\frac{11}{68}\\x-y=\frac{-37}{68}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+6y=\frac{-2000}{133}\\x=-y+\frac{-310}{133}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{25}{4}-5x\\4x-y=\frac{-1}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+5y=\frac{155}{19}\\5x+y=\frac{-197}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-y=\frac{-139}{24}\\-2x-2y=\frac{-23}{60}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{-205}{18}\\x=2y+\frac{-31}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-4y=\frac{514}{13}\\x=y+\frac{257}{26}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-y=\frac{15}{7}\\5x+5y=\frac{-55}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-113}{30}+3x\\-6x+2y=\frac{-113}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+5y=-88\\-x=-y+\frac{-33}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-y=\frac{163}{24}\\-4x=4y+\frac{107}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{143}{18}-x\\5x-4y=\frac{-53}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+3y=\frac{11}{68}\\x-y=\frac{-37}{68}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{1}{4})\}\)
2. \(\left\{\begin{matrix}4x+6y=\frac{-2000}{133}\\x=-y+\frac{-310}{133}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{-20}{7})\}\)
3. \(\left\{\begin{matrix}2y=\frac{25}{4}-5x\\4x-y=\frac{-1}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{20},2)\}\)
4. \(\left\{\begin{matrix}-5x+5y=\frac{155}{19}\\5x+y=\frac{-197}{19}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{19})\}\)
5. \(\left\{\begin{matrix}5x-y=\frac{-139}{24}\\-2x-2y=\frac{-23}{60}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{9}{8})\}\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{-205}{18}\\x=2y+\frac{-31}{18}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{5}{4})\}\)
7. \(\left\{\begin{matrix}4x-4y=\frac{514}{13}\\x=y+\frac{257}{26}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-5}{13})\}\)
8. \(\left\{\begin{matrix}6x-y=\frac{15}{7}\\5x+5y=\frac{-55}{28}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-9}{14})\}\)
9. \(\left\{\begin{matrix}y=\frac{-113}{30}+3x\\-6x+2y=\frac{-113}{15}\end{matrix}\right.\qquad V=\{(\frac{11}{5},\frac{17}{6})\}\)
10. \(\left\{\begin{matrix}6x+5y=-88\\-x=-y+\frac{-33}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-17)\}\)
11. \(\left\{\begin{matrix}-2x-y=\frac{163}{24}\\-4x=4y+\frac{107}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-17}{8})\}\)
12. \(\left\{\begin{matrix}4y=\frac{143}{18}-x\\5x-4y=\frac{-53}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{16}{9})\}\)