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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-2y=\frac{78}{7}\\-4x+3y=\frac{-222}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-2y=\frac{-1792}{247}\\-3x-y=\frac{-896}{247}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+4y=\frac{18}{5}\\5x+3y=\frac{-61}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-764}{65}\\-x=-6y+\frac{-264}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-4y=\frac{-20}{3}\\x=-2y+\frac{22}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{1554}{247}+3x\\x-2y=\frac{-713}{247}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-170}{7}+5x\\x+3y=\frac{-106}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{4}{7}+x\\3x-2y=\frac{-148}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-358}{11}-2x\\-x+2y=\frac{-151}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-74}{17}-x\\6x+2y=\frac{32}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-35}{3}-2x\\-x-5y=\frac{-161}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-6y=\frac{-129}{20}\\-x=2y+\frac{-23}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-2y=\frac{78}{7}\\-4x+3y=\frac{-222}{7}\end{matrix}\right.\qquad V=\{(6,\frac{-18}{7})\}\)
2. \(\left\{\begin{matrix}-6x-2y=\frac{-1792}{247}\\-3x-y=\frac{-896}{247}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{-10}{19})\}\)
3. \(\left\{\begin{matrix}-x+4y=\frac{18}{5}\\5x+3y=\frac{-61}{20}\end{matrix}\right.\qquad V=\{(-1,\frac{13}{20})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{-764}{65}\\-x=-6y+\frac{-264}{65}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-14}{13})\}\)
5. \(\left\{\begin{matrix}5x-4y=\frac{-20}{3}\\x=-2y+\frac{22}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},1)\}\)
6. \(\left\{\begin{matrix}3y=\frac{1554}{247}+3x\\x-2y=\frac{-713}{247}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{15}{19})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-170}{7}+5x\\x+3y=\frac{-106}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},-5)\}\)
8. \(\left\{\begin{matrix}6y=\frac{4}{7}+x\\3x-2y=\frac{-148}{21}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-358}{11}-2x\\-x+2y=\frac{-151}{11}\end{matrix}\right.\qquad V=\{(\frac{19}{11},-6)\}\)
10. \(\left\{\begin{matrix}5y=\frac{-74}{17}-x\\6x+2y=\frac{32}{17}\end{matrix}\right.\qquad V=\{(\frac{11}{17},-1)\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-35}{3}-2x\\-x-5y=\frac{-161}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{11}{4})\}\)
12. \(\left\{\begin{matrix}2x-6y=\frac{-129}{20}\\-x=2y+\frac{-23}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{7}{8})\}\)