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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-3y=\frac{173}{55}\\3x-y=\frac{353}{165}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=-11\\-x=-3y+\frac{-49}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{87}{10}\\-3x=y+\frac{13}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-44}{285}+x\\-5x+3y=\frac{-162}{95}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-4y=\frac{1}{4}\\-x+5y=\frac{23}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-5y=\frac{-1195}{102}\\x=-3y+\frac{275}{102}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-71}{19}-x\\-5x+2y=\frac{-101}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-72}{19}\\2x=-y+\frac{-20}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+y=\frac{-49}{10}\\-4x-6y=\frac{112}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+y=\frac{-65}{4}\\4x+6y=\frac{105}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{1257}{104}+6x\\-x-4y=\frac{251}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-3y=\frac{71}{21}\\-x-2y=\frac{-188}{105}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-3y=\frac{173}{55}\\3x-y=\frac{353}{165}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{17}{15})\}\)
2. \(\left\{\begin{matrix}-5x-4y=-11\\-x=-3y+\frac{-49}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{5},-2)\}\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{87}{10}\\-3x=y+\frac{13}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{7}{5})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-44}{285}+x\\-5x+3y=\frac{-162}{95}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{2}{15})\}\)
5. \(\left\{\begin{matrix}-6x-4y=\frac{1}{4}\\-x+5y=\frac{23}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}-5x-5y=\frac{-1195}{102}\\x=-3y+\frac{275}{102}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{3}{17})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-71}{19}-x\\-5x+2y=\frac{-101}{19}\end{matrix}\right.\qquad V=\{(\frac{5}{19},-2)\}\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-72}{19}\\2x=-y+\frac{-20}{19}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{-12}{19})\}\)
9. \(\left\{\begin{matrix}4x+y=\frac{-49}{10}\\-4x-6y=\frac{112}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{-7}{2})\}\)
10. \(\left\{\begin{matrix}-x+y=\frac{-65}{4}\\4x+6y=\frac{105}{2}\end{matrix}\right.\qquad V=\{(15,\frac{-5}{4})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{1257}{104}+6x\\-x-4y=\frac{251}{52}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{-15}{16})\}\)
12. \(\left\{\begin{matrix}5x-3y=\frac{71}{21}\\-x-2y=\frac{-188}{105}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{3}{7})\}\)