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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-258}{95}+x\\3x+4y=\frac{334}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-y=\frac{1815}{112}\\-6x=-2y+\frac{-855}{56}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=-17\\x=6y+\frac{7}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-9}{2}+3x\\x-y=\frac{7}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=\frac{295}{19}\\x=-4y+\frac{64}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-6y=-9\\-4x=y+\frac{-24}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=4+3x\\5x-3y=-9\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-1013}{266}+6x\\3x-2y=\frac{562}{133}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=-11+5x\\5x-y=6\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-16}{15}-6x\\3x+y=\frac{-28}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-5y=\frac{125}{72}\\4x+y=\frac{-665}{72}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+y=\frac{14}{9}\\-5x-4y=\frac{203}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-258}{95}+x\\3x+4y=\frac{334}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{11}{19})\}\)
2. \(\left\{\begin{matrix}6x-y=\frac{1815}{112}\\-6x=-2y+\frac{-855}{56}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{15}{16})\}\)
3. \(\left\{\begin{matrix}3x+4y=-17\\x=6y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(-4,\frac{-5}{4})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-9}{2}+3x\\x-y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(2,\frac{1}{4})\}\)
5. \(\left\{\begin{matrix}4x+3y=\frac{295}{19}\\x=-4y+\frac{64}{19}\end{matrix}\right.\qquad V=\{(4,\frac{-3}{19})\}\)
6. \(\left\{\begin{matrix}-6x-6y=-9\\-4x=y+\frac{-24}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{6}{7})\}\)
7. \(\left\{\begin{matrix}-y=4+3x\\5x-3y=-9\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-1013}{266}+6x\\3x-2y=\frac{562}{133}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-13}{14})\}\)
9. \(\left\{\begin{matrix}6y=-11+5x\\5x-y=6\end{matrix}\right.\qquad V=\{(1,-1)\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-16}{15}-6x\\3x+y=\frac{-28}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}5x-5y=\frac{125}{72}\\4x+y=\frac{-665}{72}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{-17}{8})\}\)
12. \(\left\{\begin{matrix}-4x+y=\frac{14}{9}\\-5x-4y=\frac{203}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-16}{9})\}\)