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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+6y=\frac{-205}{4}\\5x=y+\frac{63}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{33}{4}\\5x-y=\frac{-1}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+2y=\frac{13}{14}\\-x-5y=\frac{185}{56}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+3y=-24\\x-4y=17\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-1050}{209}\\x-y=\frac{84}{209}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+6y=\frac{-55}{2}\\-6x-y=8\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+5y=-10\\6x=-y+\frac{-44}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{43}{14}\\-4x=4y+\frac{122}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-2y=31\\x=y+8\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-6y=\frac{-475}{119}\\4x+5y=\frac{1957}{119}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+6y=\frac{-51}{8}\\-x=-y+\frac{-13}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+4y=\frac{-337}{39}\\-6x=y+\frac{-31}{78}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+6y=\frac{-205}{4}\\5x=y+\frac{63}{16}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},-8)\}\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{33}{4}\\5x-y=\frac{-1}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},4)\}\)
3. \(\left\{\begin{matrix}4x+2y=\frac{13}{14}\\-x-5y=\frac{185}{56}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{-11}{14})\}\)
4. \(\left\{\begin{matrix}-2x+3y=-24\\x-4y=17\end{matrix}\right.\qquad V=\{(9,-2)\}\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-1050}{209}\\x-y=\frac{84}{209}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-18}{19})\}\)
6. \(\left\{\begin{matrix}-5x+6y=\frac{-55}{2}\\-6x-y=8\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-5)\}\)
7. \(\left\{\begin{matrix}5x+5y=-10\\6x=-y+\frac{-44}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-8}{7})\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{43}{14}\\-4x=4y+\frac{122}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{14},-5)\}\)
9. \(\left\{\begin{matrix}5x-2y=31\\x=y+8\end{matrix}\right.\qquad V=\{(5,-3)\}\)
10. \(\left\{\begin{matrix}x-6y=\frac{-475}{119}\\4x+5y=\frac{1957}{119}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{19}{17})\}\)
11. \(\left\{\begin{matrix}3x+6y=\frac{-51}{8}\\-x=-y+\frac{-13}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-5}{4})\}\)
12. \(\left\{\begin{matrix}5x+4y=\frac{-337}{39}\\-6x=y+\frac{-31}{78}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{-17}{6})\}\)