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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-1073}{105}+6x\\-5x+y=\frac{-1429}{210}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-3y=\frac{62}{19}\\-x=-y+\frac{-51}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-109}{8}-2x\\x+y=\frac{59}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{80}{99}\\x-3y=\frac{-364}{99}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-19}{17}+3x\\-6x+y=\frac{-28}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-705}{152}+6x\\-5x+y=\frac{-331}{152}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+y=1\\-3x+4y=\frac{-10}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{253}{4}-2x\\6x-y=\frac{11}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-62}{165}-4x\\5x-y=\frac{-391}{165}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+2y=\frac{13}{3}\\-x-3y=\frac{-3}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{-83}{30}\\3x-y=\frac{169}{180}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+y=\frac{21}{20}\\2x-4y=\frac{3}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-1073}{105}+6x\\-5x+y=\frac{-1429}{210}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{-11}{15})\}\)
2. \(\left\{\begin{matrix}-4x-3y=\frac{62}{19}\\-x=-y+\frac{-51}{19}\end{matrix}\right.\qquad V=\{(\frac{13}{19},-2)\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-109}{8}-2x\\x+y=\frac{59}{16}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{7}{2})\}\)
4. \(\left\{\begin{matrix}-2x-2y=\frac{80}{99}\\x-3y=\frac{-364}{99}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{9}{11})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-19}{17}+3x\\-6x+y=\frac{-28}{17}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{2}{17})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-705}{152}+6x\\-5x+y=\frac{-331}{152}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{-9}{8})\}\)
7. \(\left\{\begin{matrix}2x+y=1\\-3x+4y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-1}{3})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{253}{4}-2x\\6x-y=\frac{11}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},-11)\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-62}{165}-4x\\5x-y=\frac{-391}{165}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-19}{15})\}\)
10. \(\left\{\begin{matrix}4x+2y=\frac{13}{3}\\-x-3y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(1,\frac{1}{6})\}\)
11. \(\left\{\begin{matrix}-6x-6y=\frac{-83}{30}\\3x-y=\frac{169}{180}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{1}{9})\}\)
12. \(\left\{\begin{matrix}x+y=\frac{21}{20}\\2x-4y=\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{3}{10})\}\)