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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-2y=\frac{474}{5}\\-x=-y+\frac{-189}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{137}{14}+5x\\x+5y=\frac{107}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{284}{105}\\-x-6y=\frac{-34}{105}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+4y=\frac{-236}{55}\\-3x=3y+\frac{342}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{103}{30}+2x\\6x-4y=\frac{-52}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{792}{13}-6x\\-x-4y=\frac{518}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{-38}{9}\\x-y=\frac{43}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-22}{5}\\6x+y=\frac{41}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+y=\frac{183}{20}\\-5x-2y=\frac{129}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+3y=\frac{469}{45}\\-5x=-5y+\frac{163}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-y=\frac{37}{8}\\-2x=-2y+\frac{85}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-771}{119}+6x\\3x+y=\frac{292}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-2y=\frac{474}{5}\\-x=-y+\frac{-189}{10}\end{matrix}\right.\qquad V=\{(19,\frac{1}{10})\}\)
2. \(\left\{\begin{matrix}5y=\frac{137}{14}+5x\\x+5y=\frac{107}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{8}{5})\}\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{284}{105}\\-x-6y=\frac{-34}{105}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{1}{7})\}\)
4. \(\left\{\begin{matrix}-x+4y=\frac{-236}{55}\\-3x=3y+\frac{342}{55}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-14}{11})\}\)
5. \(\left\{\begin{matrix}y=\frac{103}{30}+2x\\6x-4y=\frac{-52}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{1}{10})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{792}{13}-6x\\-x-4y=\frac{518}{13}\end{matrix}\right.\qquad V=\{(\frac{2}{13},-10)\}\)
7. \(\left\{\begin{matrix}-4x+2y=\frac{-38}{9}\\x-y=\frac{43}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-8}{3})\}\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-22}{5}\\6x+y=\frac{41}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},1)\}\)
9. \(\left\{\begin{matrix}-3x+y=\frac{183}{20}\\-5x-2y=\frac{129}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{12}{5})\}\)
10. \(\left\{\begin{matrix}-x+3y=\frac{469}{45}\\-5x=-5y+\frac{163}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{17}{5})\}\)
11. \(\left\{\begin{matrix}-6x-y=\frac{37}{8}\\-2x=-2y+\frac{85}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{19}{8})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-771}{119}+6x\\3x+y=\frac{292}{119}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{11}{7})\}\)