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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{18}{5}-5x\\-4x+6y=\frac{-62}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-617}{70}\\3x-y=\frac{-489}{70}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{145}{9}+x\\-6x+3y=\frac{308}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{-91}{20}-x\\5x-2y=\frac{-3}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{29}{4}\\x+y=\frac{-29}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{360}{19}+3x\\-6x+5y=\frac{594}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-393}{22}+3x\\x-2y=\frac{115}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+2y=\frac{91}{30}\\-6x+y=\frac{121}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-y=-17\\-3x=-5y+\frac{161}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{479}{190}-3x\\-4x+2y=\frac{-346}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+4y=\frac{1178}{91}\\x=3y+\frac{-123}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+6y=\frac{-128}{95}\\2x+6y=\frac{-14}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{18}{5}-5x\\-4x+6y=\frac{-62}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-7}{5})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-617}{70}\\3x-y=\frac{-489}{70}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-3}{10})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{145}{9}+x\\-6x+3y=\frac{308}{3}\end{matrix}\right.\qquad V=\{(-17,\frac{2}{9})\}\)
4. \(\left\{\begin{matrix}4y=\frac{-91}{20}-x\\5x-2y=\frac{-3}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},-1)\}\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{29}{4}\\x+y=\frac{-29}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},-1)\}\)
6. \(\left\{\begin{matrix}-y=\frac{360}{19}+3x\\-6x+5y=\frac{594}{19}\end{matrix}\right.\qquad V=\{(-6,\frac{-18}{19})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-393}{22}+3x\\x-2y=\frac{115}{11}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{-9}{2})\}\)
8. \(\left\{\begin{matrix}-4x+2y=\frac{91}{30}\\-6x+y=\frac{121}{20}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}6x-y=-17\\-3x=-5y+\frac{161}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},16)\}\)
10. \(\left\{\begin{matrix}-y=\frac{479}{190}-3x\\-4x+2y=\frac{-346}{95}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-8}{19})\}\)
11. \(\left\{\begin{matrix}3x+4y=\frac{1178}{91}\\x=3y+\frac{-123}{91}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{17}{13})\}\)
12. \(\left\{\begin{matrix}-x+6y=\frac{-128}{95}\\2x+6y=\frac{-14}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-3}{19})\}\)