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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{69}{4}-3x\\-4x-4y=-27\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-y=\frac{291}{70}\\6x=-5y+\frac{-53}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-9}{2}-2x\\-2x-y=\frac{-3}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{-17}{4}\\-5x=2y+\frac{23}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-62}{3}+2x\\-x-y=\frac{4}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-2}{5}\\-2x=-y+\frac{-11}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-4y=\frac{-110}{13}\\2x=y+\frac{-7}{26}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-4y=\frac{-407}{171}\\3x-3y=\frac{-2}{57}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-505}{99}+5x\\5x+y=\frac{-155}{99}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-y=\frac{55}{3}\\-4x+5y=\frac{-283}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-401}{171}+2x\\-x+y=\frac{-401}{342}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{-1065}{209}\\x+3y=\frac{507}{209}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{69}{4}-3x\\-4x-4y=-27\end{matrix}\right.\qquad V=\{(6,\frac{3}{4})\}\)
2. \(\left\{\begin{matrix}-4x-y=\frac{291}{70}\\6x=-5y+\frac{-53}{14}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{7}{10})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-9}{2}-2x\\-2x-y=\frac{-3}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{7}{4})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{-17}{4}\\-5x=2y+\frac{23}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-1)\}\)
5. \(\left\{\begin{matrix}5y=\frac{-62}{3}+2x\\-x-y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(2,\frac{-10}{3})\}\)
6. \(\left\{\begin{matrix}-4x+4y=\frac{-2}{5}\\-2x=-y+\frac{-11}{10}\end{matrix}\right.\qquad V=\{(1,\frac{9}{10})\}\)
7. \(\left\{\begin{matrix}-4x-4y=\frac{-110}{13}\\2x=y+\frac{-7}{26}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}x-4y=\frac{-407}{171}\\3x-3y=\frac{-2}{57}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{15}{19})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-505}{99}+5x\\5x+y=\frac{-155}{99}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{-10}{9})\}\)
10. \(\left\{\begin{matrix}4x-y=\frac{55}{3}\\-4x+5y=\frac{-283}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},-19)\}\)
11. \(\left\{\begin{matrix}2y=\frac{-401}{171}+2x\\-x+y=\frac{-401}{342}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{-17}{19})\}\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{-1065}{209}\\x+3y=\frac{507}{209}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{6}{11})\}\)