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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+5y=\frac{17}{2}\\-3x+3y=\frac{-3}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-6y=\frac{160}{9}\\-4x=-2y+\frac{-62}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+5y=28\\-5x-y=\frac{-154}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{1}{9}\\-x=-y+\frac{-7}{36}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+3y=\frac{131}{48}\\4x=-y+\frac{227}{144}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-3y=\frac{13}{154}\\-6x=4y+\frac{270}{77}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+6y=\frac{-85}{3}\\-x=4y+\frac{119}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{64}{21}-2x\\-3x-6y=\frac{-86}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+5y=\frac{-650}{9}\\-6x+y=\frac{-62}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{33}{140}-6x\\x+2y=\frac{71}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{17}{7}+2x\\-x+y=\frac{-9}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-83}{15}-x\\-5x-4y=\frac{-13}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+5y=\frac{17}{2}\\-3x+3y=\frac{-3}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{7}{5})\}\)
2. \(\left\{\begin{matrix}-x-6y=\frac{160}{9}\\-4x=-2y+\frac{-62}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},-3)\}\)
3. \(\left\{\begin{matrix}4x+5y=28\\-5x-y=\frac{-154}{5}\end{matrix}\right.\qquad V=\{(6,\frac{4}{5})\}\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{1}{9}\\-x=-y+\frac{-7}{36}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{1}{4})\}\)
5. \(\left\{\begin{matrix}3x+3y=\frac{131}{48}\\4x=-y+\frac{227}{144}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{11}{16})\}\)
6. \(\left\{\begin{matrix}-x-3y=\frac{13}{154}\\-6x=4y+\frac{270}{77}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{3}{14})\}\)
7. \(\left\{\begin{matrix}-4x+6y=\frac{-85}{3}\\-x=4y+\frac{119}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{-17}{2})\}\)
8. \(\left\{\begin{matrix}y=\frac{64}{21}-2x\\-3x-6y=\frac{-86}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{12}{7})\}\)
9. \(\left\{\begin{matrix}-2x+5y=\frac{-650}{9}\\-6x+y=\frac{-62}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{9},-14)\}\)
10. \(\left\{\begin{matrix}3y=\frac{33}{140}-6x\\x+2y=\frac{71}{70}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{13}{20})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{17}{7}+2x\\-x+y=\frac{-9}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-5}{7})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-83}{15}-x\\-5x-4y=\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{4}{3})\}\)