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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{882}{65}-3x\\-x-y=\frac{-144}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{203}{11}-3x\\-x+4y=\frac{-185}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{644}{171}+4x\\x+2y=\frac{307}{171}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{248}{11}\\-x=-6y+\frac{344}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+2y=\frac{48}{55}\\-x=-y+\frac{34}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+y=\frac{-92}{17}\\5x-2y=\frac{116}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+4y=\frac{13}{4}\\-5x=y+\frac{-7}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-179}{34}+2x\\-x-y=\frac{-13}{34}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{1221}{70}\\-x=-y+\frac{191}{70}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=20-5x\\-x-y=\frac{61}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+3y=\frac{279}{52}\\3x=6y+\frac{-243}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{-8}{51}\\-6x=-3y+\frac{47}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{882}{65}-3x\\-x-y=\frac{-144}{65}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{-18}{13})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{203}{11}-3x\\-x+4y=\frac{-185}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{11},-4)\}\)
3. \(\left\{\begin{matrix}5y=\frac{644}{171}+4x\\x+2y=\frac{307}{171}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{16}{19})\}\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{248}{11}\\-x=-6y+\frac{344}{11}\end{matrix}\right.\qquad V=\{(\frac{-14}{11},5)\}\)
5. \(\left\{\begin{matrix}-4x+2y=\frac{48}{55}\\-x=-y+\frac{34}{55}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{4}{5})\}\)
6. \(\left\{\begin{matrix}6x+y=\frac{-92}{17}\\5x-2y=\frac{116}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},-4)\}\)
7. \(\left\{\begin{matrix}5x+4y=\frac{13}{4}\\-5x=y+\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-179}{34}+2x\\-x-y=\frac{-13}{34}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{3}{2})\}\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{1221}{70}\\-x=-y+\frac{191}{70}\end{matrix}\right.\qquad V=\{(\frac{15}{14},\frac{19}{5})\}\)
10. \(\left\{\begin{matrix}-6y=20-5x\\-x-y=\frac{61}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-11}{3})\}\)
11. \(\left\{\begin{matrix}-x+3y=\frac{279}{52}\\3x=6y+\frac{-243}{26}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{9}{4})\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{-8}{51}\\-6x=-3y+\frac{47}{17}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-7}{17})\}\)