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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-138}{7}+4x\\x+3y=\frac{59}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=-4\\-6x=-y+\frac{-3}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+3y=\frac{387}{52}\\-x=4y+\frac{-73}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-2y=\frac{-110}{133}\\-x=-2y+\frac{-128}{133}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{292}{99}+2x\\6x-y=\frac{-232}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-486}{19}\\4x-y=\frac{16}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+3y=-83\\4x=-y+-65\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-5y=\frac{215}{38}\\x=-5y+\frac{-135}{38}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{113}{6}\\-2x=-y+\frac{-71}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{-29}{5}\\-2x-y=\frac{22}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{293}{35}+5x\\-x-y=\frac{81}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=-57-6x\\x+4y=58\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-138}{7}+4x\\x+3y=\frac{59}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{7},2)\}\)
2. \(\left\{\begin{matrix}4x-4y=-4\\-6x=-y+\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{3}{2})\}\)
3. \(\left\{\begin{matrix}6x+3y=\frac{387}{52}\\-x=4y+\frac{-73}{13}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{5}{4})\}\)
4. \(\left\{\begin{matrix}3x-2y=\frac{-110}{133}\\-x=-2y+\frac{-128}{133}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{-13}{14})\}\)
5. \(\left\{\begin{matrix}2y=\frac{292}{99}+2x\\6x-y=\frac{-232}{33}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{4}{11})\}\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-486}{19}\\4x-y=\frac{16}{19}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},-4)\}\)
7. \(\left\{\begin{matrix}5x+3y=-83\\4x=-y+-65\end{matrix}\right.\qquad V=\{(-16,-1)\}\)
8. \(\left\{\begin{matrix}-3x-5y=\frac{215}{38}\\x=-5y+\frac{-135}{38}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{113}{6}\\-2x=-y+\frac{-71}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-9}{2})\}\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{-29}{5}\\-2x-y=\frac{22}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-19}{5})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{293}{35}+5x\\-x-y=\frac{81}{35}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-8}{5})\}\)
12. \(\left\{\begin{matrix}-3y=-57-6x\\x+4y=58\end{matrix}\right.\qquad V=\{(-2,15)\}\)