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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-6y=\frac{-9}{2}\\-x-2y=\frac{-3}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-2y=\frac{271}{10}\\6x-y=\frac{-539}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-2y=\frac{209}{34}\\-5x=-y+\frac{-311}{68}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+6y=\frac{200}{323}\\-x=y+\frac{220}{323}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-y=\frac{-116}{21}\\4x+2y=\frac{134}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-31}{6}-3x\\-2x+4y=\frac{22}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+y=\frac{-20}{63}\\-2x=3y+\frac{88}{63}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+5y=-39\\x+5y=\frac{-91}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=-4+3x\\-3x+y=\frac{-38}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{-169}{30}\\-x=-y+\frac{-163}{60}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{56}{19}+x\\-2x+6y=\frac{150}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+y=\frac{-127}{35}\\5x-6y=\frac{412}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-6y=\frac{-9}{2}\\-x-2y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{4})\}\)
2. \(\left\{\begin{matrix}-6x-2y=\frac{271}{10}\\6x-y=\frac{-539}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-1}{20})\}\)
3. \(\left\{\begin{matrix}6x-2y=\frac{209}{34}\\-5x=-y+\frac{-311}{68}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-14}{17})\}\)
4. \(\left\{\begin{matrix}-4x+6y=\frac{200}{323}\\-x=y+\frac{220}{323}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{-4}{19})\}\)
5. \(\left\{\begin{matrix}-4x-y=\frac{-116}{21}\\4x+2y=\frac{134}{21}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{6}{7})\}\)
6. \(\left\{\begin{matrix}y=\frac{-31}{6}-3x\\-2x+4y=\frac{22}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{5}{6})\}\)
7. \(\left\{\begin{matrix}-2x+y=\frac{-20}{63}\\-2x=3y+\frac{88}{63}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{-3}{7})\}\)
8. \(\left\{\begin{matrix}-3x+5y=-39\\x+5y=\frac{-91}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{-13}{2})\}\)
9. \(\left\{\begin{matrix}-4y=-4+3x\\-3x+y=\frac{-38}{7}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{-2}{7})\}\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{-169}{30}\\-x=-y+\frac{-163}{60}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{-8}{3})\}\)
11. \(\left\{\begin{matrix}2y=\frac{56}{19}+x\\-2x+6y=\frac{150}{19}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},1)\}\)
12. \(\left\{\begin{matrix}5x+y=\frac{-127}{35}\\5x-6y=\frac{412}{35}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-11}{5})\}\)