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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-149}{9}+5x\\4x-4y=\frac{196}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-61}{10}\\-x+y=\frac{-39}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-6y=-8\\x+y=\frac{4}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+6y=\frac{159}{13}\\3x=-y+\frac{131}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{13}{24}+x\\3x-4y=\frac{3}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{397}{68}\\x+y=\frac{-245}{204}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-670}{133}+2x\\x+y=\frac{-349}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-56}{13}+4x\\-x-5y=\frac{-341}{52}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{197}{18}-5x\\x+2y=\frac{47}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-19}{7}+6x\\x+5y=\frac{-59}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{164}{195}\\-4x=y+\frac{503}{195}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+2y=\frac{-251}{112}\\3x=-y+\frac{347}{112}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-149}{9}+5x\\4x-4y=\frac{196}{9}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-16}{9})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-61}{10}\\-x+y=\frac{-39}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}-6x-6y=-8\\x+y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{3}{4})\}\)
4. \(\left\{\begin{matrix}6x+6y=\frac{159}{13}\\3x=-y+\frac{131}{26}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{7}{13})\}\)
5. \(\left\{\begin{matrix}3y=\frac{13}{24}+x\\3x-4y=\frac{3}{2}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{5}{8})\}\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{397}{68}\\x+y=\frac{-245}{204}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{-1}{12})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-670}{133}+2x\\x+y=\frac{-349}{133}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{-18}{7})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-56}{13}+4x\\-x-5y=\frac{-341}{52}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{19}{13})\}\)
9. \(\left\{\begin{matrix}3y=\frac{197}{18}-5x\\x+2y=\frac{47}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{13}{6})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-19}{7}+6x\\x+5y=\frac{-59}{14}\end{matrix}\right.\qquad V=\{(\frac{11}{14},-1)\}\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{164}{195}\\-4x=y+\frac{503}{195}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-11}{15})\}\)
12. \(\left\{\begin{matrix}-3x+2y=\frac{-251}{112}\\3x=-y+\frac{347}{112}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{2}{7})\}\)