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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-237}{247}+3x\\5x+y=\frac{-1243}{247}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-35}{6}+5x\\-2x-4y=\frac{-112}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+y=\frac{11}{4}\\3x-2y=\frac{-83}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{3}{7}+2x\\4x+3y=\frac{-76}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-1}{9}-4x\\-6x+3y=\frac{-4}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+y=\frac{13}{18}\\-3x-5y=\frac{-11}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-2y=\frac{-25}{11}\\-4x-6y=\frac{-54}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{1115}{19}+6x\\-3x+y=\frac{1051}{38}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+4y=\frac{-73}{5}\\-x=5y+\frac{141}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=\frac{279}{7}\\-3x=3y+\frac{-255}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-352}{13}+4x\\3x+y=\frac{277}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{-98}{15}\\-3x+5y=\frac{11}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-237}{247}+3x\\5x+y=\frac{-1243}{247}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{14}{19})\}\)
2. \(\left\{\begin{matrix}y=\frac{-35}{6}+5x\\-2x-4y=\frac{-112}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{7}{6})\}\)
3. \(\left\{\begin{matrix}-x+y=\frac{11}{4}\\3x-2y=\frac{-83}{10}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-1}{20})\}\)
4. \(\left\{\begin{matrix}y=\frac{3}{7}+2x\\4x+3y=\frac{-76}{7}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},-2)\}\)
5. \(\left\{\begin{matrix}-y=\frac{-1}{9}-4x\\-6x+3y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},-1)\}\)
6. \(\left\{\begin{matrix}-3x+y=\frac{13}{18}\\-3x-5y=\frac{-11}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{2}{9})\}\)
7. \(\left\{\begin{matrix}x-2y=\frac{-25}{11}\\-4x-6y=\frac{-54}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},1)\}\)
8. \(\left\{\begin{matrix}-2y=\frac{1115}{19}+6x\\-3x+y=\frac{1051}{38}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-16}{19})\}\)
9. \(\left\{\begin{matrix}4x+4y=\frac{-73}{5}\\-x=5y+\frac{141}{20}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-17}{20})\}\)
10. \(\left\{\begin{matrix}3x-y=\frac{279}{7}\\-3x=3y+\frac{-255}{7}\end{matrix}\right.\qquad V=\{(13,\frac{-6}{7})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-352}{13}+4x\\3x+y=\frac{277}{13}\end{matrix}\right.\qquad V=\{(7,\frac{4}{13})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{-98}{15}\\-3x+5y=\frac{11}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-8}{15})\}\)