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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{29}{4}+5x\\-5x-y=\frac{15}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{8}{5}-x\\5x+3y=\frac{106}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-93}{38}-5x\\x-y=\frac{-301}{190}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-6y=\frac{2826}{221}\\-x=6y+\frac{1552}{221}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-60}{7}-6x\\-4x+y=\frac{19}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+2y=\frac{64}{3}\\x=4y+\frac{-11}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-37}{12}-3x\\-x+6y=\frac{9}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-5y=\frac{-88}{7}\\x-y=\frac{-78}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{308}{17}-2x\\x+6y=\frac{159}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+3y=\frac{-33}{10}\\-x=6y+0\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{121}{9}-5x\\-4x+6y=\frac{-47}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+4y=-8\\x+y=\frac{-1}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{29}{4}+5x\\-5x-y=\frac{15}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{8}{5}-x\\5x+3y=\frac{106}{5}\end{matrix}\right.\qquad V=\{(4,\frac{2}{5})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-93}{38}-5x\\x-y=\frac{-301}{190}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{13}{19})\}\)
4. \(\left\{\begin{matrix}6x-6y=\frac{2826}{221}\\-x=6y+\frac{1552}{221}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-17}{13})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-60}{7}-6x\\-4x+y=\frac{19}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{14},3)\}\)
6. \(\left\{\begin{matrix}6x+2y=\frac{64}{3}\\x=4y+\frac{-11}{3}\end{matrix}\right.\qquad V=\{(3,\frac{5}{3})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-37}{12}-3x\\-x+6y=\frac{9}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{1}{6})\}\)
8. \(\left\{\begin{matrix}6x-5y=\frac{-88}{7}\\x-y=\frac{-78}{35}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{4}{5})\}\)
9. \(\left\{\begin{matrix}2y=\frac{308}{17}-2x\\x+6y=\frac{159}{17}\end{matrix}\right.\qquad V=\{(9,\frac{1}{17})\}\)
10. \(\left\{\begin{matrix}6x+3y=\frac{-33}{10}\\-x=6y+0\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{1}{10})\}\)
11. \(\left\{\begin{matrix}-y=\frac{121}{9}-5x\\-4x+6y=\frac{-47}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-17}{18})\}\)
12. \(\left\{\begin{matrix}-4x+4y=-8\\x+y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-5}{4})\}\)