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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+3y=\frac{129}{14}\\-2x-y=\frac{-43}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+2y=\frac{-15}{2}\\-3x+y=\frac{9}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-151}{39}-4x\\-x+y=\frac{46}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-y=1\\-5x=-4y+\frac{-11}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-5y=\frac{317}{38}\\x-6y=\frac{179}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-164}{5}+4x\\-x+y=\frac{-44}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-6y=\frac{76}{5}\\x+y=\frac{-6}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-214}{11}+2x\\x+y=\frac{145}{33}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-2303}{209}+5x\\-5x-y=\frac{-1277}{209}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{307}{44}+3x\\-4x-y=\frac{-28}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-y=\frac{-201}{152}\\-4x=-6y+\frac{121}{38}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+y=\frac{-1}{90}\\-5x=-5y+\frac{-1}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+3y=\frac{129}{14}\\-2x-y=\frac{-43}{14}\end{matrix}\right.\qquad V=\{(1,\frac{15}{14})\}\)
2. \(\left\{\begin{matrix}6x+2y=\frac{-15}{2}\\-3x+y=\frac{9}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{4})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-151}{39}-4x\\-x+y=\frac{46}{39}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{11}{13})\}\)
4. \(\left\{\begin{matrix}2x-y=1\\-5x=-4y+\frac{-11}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{5})\}\)
5. \(\left\{\begin{matrix}2x-5y=\frac{317}{38}\\x-6y=\frac{179}{19}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-164}{5}+4x\\-x+y=\frac{-44}{5}\end{matrix}\right.\qquad V=\{(10,\frac{6}{5})\}\)
7. \(\left\{\begin{matrix}2x-6y=\frac{76}{5}\\x+y=\frac{-6}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{5})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-214}{11}+2x\\x+y=\frac{145}{33}\end{matrix}\right.\qquad V=\{(\frac{19}{11},\frac{8}{3})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-2303}{209}+5x\\-5x-y=\frac{-1277}{209}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{18}{11})\}\)
10. \(\left\{\begin{matrix}5y=\frac{307}{44}+3x\\-4x-y=\frac{-28}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{17}{11})\}\)
11. \(\left\{\begin{matrix}x-y=\frac{-201}{152}\\-4x=-6y+\frac{121}{38}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-20}{19})\}\)
12. \(\left\{\begin{matrix}-x+y=\frac{-1}{90}\\-5x=-5y+\frac{-1}{18}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{-17}{18})\}\)