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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-5y=\frac{515}{36}\\-x=-4y+\frac{-259}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=-31\\-4x-y=\frac{-121}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{-23}{10}\\-6x=-5y+\frac{21}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-4y=\frac{176}{21}\\x=-6y+\frac{-302}{63}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-y=\frac{219}{130}\\2x=4y+\frac{258}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+6y=\frac{192}{11}\\-x=-6y+\frac{38}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-498}{133}-6x\\-2x+y=\frac{128}{133}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+6y=\frac{-105}{16}\\x-6y=\frac{171}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-3y=\frac{-113}{16}\\-x-5y=\frac{-71}{16}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-23}{6}\\x-y=\frac{-13}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{28}{143}+x\\-2x-5y=\frac{784}{143}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-861}{22}-5x\\-5x-y=\frac{843}{22}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-5y=\frac{515}{36}\\-x=-4y+\frac{-259}{36}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-19}{9})\}\)
2. \(\left\{\begin{matrix}-5x-5y=-31\\-4x-y=\frac{-121}{5}\end{matrix}\right.\qquad V=\{(6,\frac{1}{5})\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{-23}{10}\\-6x=-5y+\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{9}{5})\}\)
4. \(\left\{\begin{matrix}-3x-4y=\frac{176}{21}\\x=-6y+\frac{-302}{63}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{-3}{7})\}\)
5. \(\left\{\begin{matrix}x-y=\frac{219}{130}\\2x=4y+\frac{258}{65}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{-3}{10})\}\)
6. \(\left\{\begin{matrix}6x+6y=\frac{192}{11}\\-x=-6y+\frac{38}{11}\end{matrix}\right.\qquad V=\{(2,\frac{10}{11})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-498}{133}-6x\\-2x+y=\frac{128}{133}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{6}{7})\}\)
8. \(\left\{\begin{matrix}5x+6y=\frac{-105}{16}\\x-6y=\frac{171}{16}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-5}{3})\}\)
9. \(\left\{\begin{matrix}-5x-3y=\frac{-113}{16}\\-x-5y=\frac{-71}{16}\end{matrix}\right.\qquad V=\{(1,\frac{11}{16})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-23}{6}\\x-y=\frac{-13}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{8}{3})\}\)
11. \(\left\{\begin{matrix}y=\frac{28}{143}+x\\-2x-5y=\frac{784}{143}\end{matrix}\right.\qquad V=\{(\frac{-12}{13},\frac{-8}{11})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-861}{22}-5x\\-5x-y=\frac{843}{22}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{-9}{11})\}\)