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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-7}{3}-5x\\x+6y=\frac{31}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{27}{143}\\x+y=\frac{-282}{143}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-335}{6}\\x=4y+\frac{-797}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+6y=\frac{17}{2}\\-2x-y=\frac{-15}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+y=\frac{163}{18}\\-6x+3y=\frac{55}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-31}{6}+x\\-4x+2y=\frac{-86}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{23}{3}+2x\\-x-6y=\frac{1}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-y=\frac{-173}{55}\\-4x-6y=\frac{-862}{55}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{106}{5}\\-3x+y=\frac{53}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-6y=\frac{-41}{6}\\x-2y=\frac{-11}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{-11}{30}\\-x=y+\frac{71}{90}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-3y=\frac{24}{7}\\5x=y+\frac{22}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-7}{3}-5x\\x+6y=\frac{31}{6}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{13}{12})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{27}{143}\\x+y=\frac{-282}{143}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{-9}{11})\}\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-335}{6}\\x=4y+\frac{-797}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},11)\}\)
4. \(\left\{\begin{matrix}4x+6y=\frac{17}{2}\\-2x-y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{1}{4})\}\)
5. \(\left\{\begin{matrix}-5x+y=\frac{163}{18}\\-6x+3y=\frac{55}{6}\end{matrix}\right.\qquad V=\{(-2,\frac{-17}{18})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-31}{6}+x\\-4x+2y=\frac{-86}{9}\end{matrix}\right.\qquad V=\{(\frac{11}{6},\frac{-10}{9})\}\)
7. \(\left\{\begin{matrix}2y=\frac{23}{3}+2x\\-x-6y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-x-y=\frac{-173}{55}\\-4x-6y=\frac{-862}{55}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{17}{11})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{106}{5}\\-3x+y=\frac{53}{5}\end{matrix}\right.\qquad V=\{(-4,\frac{-7}{5})\}\)
10. \(\left\{\begin{matrix}5x-6y=\frac{-41}{6}\\x-2y=\frac{-11}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-17}{18})\}\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{-11}{30}\\-x=y+\frac{71}{90}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-7}{18})\}\)
12. \(\left\{\begin{matrix}3x-3y=\frac{24}{7}\\5x=y+\frac{22}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-9}{14})\}\)