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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-3y=\frac{33}{8}\\x=-5y+\frac{7}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-386}{57}+6x\\5x-y=\frac{661}{171}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{753}{104}-6x\\x-4y=\frac{-1189}{208}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-y=\frac{-73}{9}\\2x=-6y+\frac{22}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+2y=\frac{62}{63}\\5x+2y=\frac{-82}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{91}{11}\\-x+y=\frac{29}{22}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-4y=\frac{154}{57}\\2x=-y+\frac{197}{228}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+5y=\frac{-22}{3}\\-3x-y=\frac{-86}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-29}{26}\\6x=-5y+\frac{453}{26}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+y=\frac{-17}{26}\\2x=4y+\frac{28}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{576}{85}+2x\\-5x+y=\frac{-202}{255}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{81}{2}-2x\\x-5y=\frac{137}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-3y=\frac{33}{8}\\x=-5y+\frac{7}{16}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{1}{4})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-386}{57}+6x\\5x-y=\frac{661}{171}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-4}{9})\}\)
3. \(\left\{\begin{matrix}3y=\frac{753}{104}-6x\\x-4y=\frac{-1189}{208}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{20}{13})\}\)
4. \(\left\{\begin{matrix}4x-y=\frac{-73}{9}\\2x=-6y+\frac{22}{9}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},1)\}\)
5. \(\left\{\begin{matrix}x+2y=\frac{62}{63}\\5x+2y=\frac{-82}{63}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{7}{9})\}\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{91}{11}\\-x+y=\frac{29}{22}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}5x-4y=\frac{154}{57}\\2x=-y+\frac{197}{228}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-1}{12})\}\)
8. \(\left\{\begin{matrix}-3x+5y=\frac{-22}{3}\\-3x-y=\frac{-86}{15}\end{matrix}\right.\qquad V=\{(2,\frac{-4}{15})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-29}{26}\\6x=-5y+\frac{453}{26}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{9}{2})\}\)
10. \(\left\{\begin{matrix}-2x+y=\frac{-17}{26}\\2x=4y+\frac{28}{13}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}6y=\frac{576}{85}+2x\\-5x+y=\frac{-202}{255}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{19}{15})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{81}{2}-2x\\x-5y=\frac{137}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-7)\}\)