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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+5y=\frac{447}{7}\\x-y=\frac{-118}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-11}{6}-3x\\-4x-y=\frac{-77}{36}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-95}{68}+2x\\3x-y=\frac{701}{136}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+y=\frac{61}{30}\\-2x-3y=\frac{-79}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-6y=\frac{-63}{22}\\4x-4y=\frac{49}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-4y=\frac{14}{5}\\-4x+y=\frac{17}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+2y=\frac{127}{7}\\x+5y=\frac{20}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{147}{20}\\2x+y=\frac{11}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+4y=\frac{23}{30}\\x=4y+\frac{-163}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-106}{9}+5x\\-2x-y=\frac{-361}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{121}{95}+6x\\2x-y=\frac{-539}{285}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-4y=\frac{-1373}{156}\\-5x=-y+\frac{-713}{156}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+5y=\frac{447}{7}\\x-y=\frac{-118}{7}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},15)\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-11}{6}-3x\\-4x-y=\frac{-77}{36}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{5}{4})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-95}{68}+2x\\3x-y=\frac{701}{136}\end{matrix}\right.\qquad V=\{(\frac{15}{8},\frac{8}{17})\}\)
4. \(\left\{\begin{matrix}x+y=\frac{61}{30}\\-2x-3y=\frac{-79}{15}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{6}{5})\}\)
5. \(\left\{\begin{matrix}-x-6y=\frac{-63}{22}\\4x-4y=\frac{49}{11}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}4x-4y=\frac{14}{5}\\-4x+y=\frac{17}{10}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}-3x+2y=\frac{127}{7}\\x+5y=\frac{20}{7}\end{matrix}\right.\qquad V=\{(-5,\frac{11}{7})\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{147}{20}\\2x+y=\frac{11}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-19}{20})\}\)
9. \(\left\{\begin{matrix}4x+4y=\frac{23}{30}\\x=4y+\frac{-163}{30}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{9}{8})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-106}{9}+5x\\-2x-y=\frac{-361}{90}\end{matrix}\right.\qquad V=\{(\frac{11}{5},\frac{-7}{18})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{121}{95}+6x\\2x-y=\frac{-539}{285}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{11}{15})\}\)
12. \(\left\{\begin{matrix}-5x-4y=\frac{-1373}{156}\\-5x=-y+\frac{-713}{156}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{11}{13})\}\)