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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-25}{8}+x\\-6x+6y=\frac{-27}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-3y=\frac{237}{55}\\-x-5y=\frac{-20}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{17}{12}\\-5x=-2y+\frac{-10}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{271}{40}+2x\\-x+3y=\frac{271}{80}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-4y=\frac{-222}{13}\\-x=y+\frac{-50}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{70}{9}-5x\\-x+y=\frac{5}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+y=\frac{33}{10}\\3x=-3y+\frac{123}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-5y=\frac{89}{11}\\4x+y=\frac{3}{55}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=\frac{217}{22}\\4x=-4y+\frac{54}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-6y=\frac{243}{35}\\-x-3y=\frac{143}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=41+5x\\x-5y=\frac{-95}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-5y=\frac{415}{34}\\5x=-y+\frac{-489}{68}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-25}{8}+x\\-6x+6y=\frac{-27}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{8},-1)\}\)
2. \(\left\{\begin{matrix}6x-3y=\frac{237}{55}\\-x-5y=\frac{-20}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{1}{5})\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{17}{12}\\-5x=-2y+\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-5}{12})\}\)
4. \(\left\{\begin{matrix}6y=\frac{271}{40}+2x\\-x+3y=\frac{271}{80}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{7}{5})\}\)
5. \(\left\{\begin{matrix}-6x-4y=\frac{-222}{13}\\-x=y+\frac{-50}{13}\end{matrix}\right.\qquad V=\{(\frac{11}{13},3)\}\)
6. \(\left\{\begin{matrix}6y=\frac{70}{9}-5x\\-x+y=\frac{5}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{5}{6})\}\)
7. \(\left\{\begin{matrix}2x+y=\frac{33}{10}\\3x=-3y+\frac{123}{20}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{4}{5})\}\)
8. \(\left\{\begin{matrix}3x-5y=\frac{89}{11}\\4x+y=\frac{3}{55}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{-7}{5})\}\)
9. \(\left\{\begin{matrix}x+6y=\frac{217}{22}\\4x=-4y+\frac{54}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{19}{11})\}\)
10. \(\left\{\begin{matrix}6x-6y=\frac{243}{35}\\-x-3y=\frac{143}{70}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-4}{5})\}\)
11. \(\left\{\begin{matrix}3y=41+5x\\x-5y=\frac{-95}{3}\end{matrix}\right.\qquad V=\{(-5,\frac{16}{3})\}\)
12. \(\left\{\begin{matrix}-6x-5y=\frac{415}{34}\\5x=-y+\frac{-489}{68}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-16}{17})\}\)