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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{57}{17}\\4x+5y=\frac{98}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{778}{57}\\-x=-6y+\frac{-170}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{202}{51}-2x\\2x-y=\frac{32}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{44}{15}-2x\\x+5y=\frac{-46}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-62}{7}\\-4x=4y+\frac{46}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-3y=\frac{-80}{7}\\-5x=6y+\frac{-237}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-2y=-48\\x=-6y+23\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{-38}{15}\\-x-4y=\frac{32}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+3y=\frac{45}{19}\\x=-5y+\frac{91}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+6y=\frac{3}{10}\\2x=y+\frac{179}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-4y=\frac{-43}{5}\\-x=-5y+\frac{263}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-5y=\frac{35}{4}\\x-4y=1\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{57}{17}\\4x+5y=\frac{98}{17}\end{matrix}\right.\qquad V=\{(1,\frac{6}{17})\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{778}{57}\\-x=-6y+\frac{-170}{57}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-1}{19})\}\)
3. \(\left\{\begin{matrix}4y=\frac{202}{51}-2x\\2x-y=\frac{32}{51}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{44}{15}-2x\\x+5y=\frac{-46}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-12}{5})\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-62}{7}\\-4x=4y+\frac{46}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}x-3y=\frac{-80}{7}\\-5x=6y+\frac{-237}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{13}{3})\}\)
7. \(\left\{\begin{matrix}-4x-2y=-48\\x=-6y+23\end{matrix}\right.\qquad V=\{(11,2)\}\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{-38}{15}\\-x-4y=\frac{32}{45}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-7}{9})\}\)
9. \(\left\{\begin{matrix}3x+3y=\frac{45}{19}\\x=-5y+\frac{91}{19}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},1)\}\)
10. \(\left\{\begin{matrix}3x+6y=\frac{3}{10}\\2x=y+\frac{179}{20}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{-7}{4})\}\)
11. \(\left\{\begin{matrix}4x-4y=\frac{-43}{5}\\-x=-5y+\frac{263}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{11}{4})\}\)
12. \(\left\{\begin{matrix}5x-5y=\frac{35}{4}\\x-4y=1\end{matrix}\right.\qquad V=\{(2,\frac{1}{4})\}\)