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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+y=-2\\4x=-4y+\frac{-16}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{-2}{3}\\3x+y=\frac{-28}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{1333}{60}-x\\-4x-5y=\frac{64}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=6-3x\\x-3y=\frac{-29}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-13}{2}-x\\-4x-3y=\frac{62}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-440}{171}+5x\\-2x+y=\frac{-157}{171}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{9}{4}-x\\5x+5y=\frac{-65}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-38}{11}-4x\\3x-5y=\frac{127}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-19}{20}+6x\\5x+y=\frac{-11}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-476}{19}+x\\-4x-4y=\frac{376}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+y=\frac{4}{3}\\-3x-6y=\frac{5}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{295}{56}+2x\\-x+5y=\frac{-321}{112}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+y=-2\\4x=-4y+\frac{-16}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-2}{7})\}\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{-2}{3}\\3x+y=\frac{-28}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-10}{9})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{1333}{60}-x\\-4x-5y=\frac{64}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-19}{5})\}\)
4. \(\left\{\begin{matrix}6y=6-3x\\x-3y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{7}{3})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-13}{2}-x\\-4x-3y=\frac{62}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-4}{5})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-440}{171}+5x\\-2x+y=\frac{-157}{171}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{5}{9})\}\)
7. \(\left\{\begin{matrix}-y=\frac{9}{4}-x\\5x+5y=\frac{-65}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-11}{4})\}\)
8. \(\left\{\begin{matrix}y=\frac{-38}{11}-4x\\3x-5y=\frac{127}{22}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-16}{11})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-19}{20}+6x\\5x+y=\frac{-11}{40}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{8}{5})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-476}{19}+x\\-4x-4y=\frac{376}{19}\end{matrix}\right.\qquad V=\{(\frac{1}{19},-5)\}\)
11. \(\left\{\begin{matrix}-3x+y=\frac{4}{3}\\-3x-6y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-1}{6})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{295}{56}+2x\\-x+5y=\frac{-321}{112}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},\frac{-11}{14})\}\)