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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-44}{5}-4x\\6x-y=\frac{-38}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-5}{3}+6x\\-2x-5y=\frac{49}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+3y=23\\-x=-6y+\frac{128}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-y=\frac{271}{112}\\6x+5y=\frac{-139}{112}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-632}{57}-x\\-5x-2y=\frac{424}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+6y=\frac{573}{130}\\-5x=-y+\frac{-409}{260}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-3y=\frac{-47}{21}\\-x+4y=\frac{263}{63}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{-25}{12}+2x\\-4x+y=\frac{-305}{48}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{5}{3}-2x\\3x-4y=\frac{13}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=\frac{65}{18}\\-6x+2y=\frac{-65}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-906}{247}+3x\\x+2y=\frac{435}{247}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-203}{15}+2x\\2x+y=\frac{38}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-44}{5}-4x\\6x-y=\frac{-38}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{8}{5})\}\)
2. \(\left\{\begin{matrix}y=\frac{-5}{3}+6x\\-2x-5y=\frac{49}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-19}{6})\}\)
3. \(\left\{\begin{matrix}-3x+3y=23\\-x=-6y+\frac{128}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},7)\}\)
4. \(\left\{\begin{matrix}-5x-y=\frac{271}{112}\\6x+5y=\frac{-139}{112}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{7}{16})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-632}{57}-x\\-5x-2y=\frac{424}{57}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-8}{3})\}\)
6. \(\left\{\begin{matrix}6x+6y=\frac{573}{130}\\-5x=-y+\frac{-409}{260}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{7}{20})\}\)
7. \(\left\{\begin{matrix}2x-3y=\frac{-47}{21}\\-x+4y=\frac{263}{63}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{11}{9})\}\)
8. \(\left\{\begin{matrix}4y=\frac{-25}{12}+2x\\-4x+y=\frac{-305}{48}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{5}{16})\}\)
9. \(\left\{\begin{matrix}y=\frac{5}{3}-2x\\3x-4y=\frac{13}{3}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{3})\}\)
10. \(\left\{\begin{matrix}3x-y=\frac{65}{18}\\-6x+2y=\frac{-65}{9}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{18})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-906}{247}+3x\\x+2y=\frac{435}{247}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{7}{13})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-203}{15}+2x\\2x+y=\frac{38}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{11}{5})\}\)