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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+5y=\frac{13}{21}\\-5x-5y=\frac{-125}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-184}{57}-5x\\-x+5y=\frac{161}{114}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{-64}{21}\\-x-4y=\frac{82}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+3y=\frac{4}{19}\\x=-3y+\frac{-31}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-32}{7}\\-3x=-4y+\frac{-103}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{430}{77}-2x\\x-4y=\frac{278}{77}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+2y=\frac{113}{15}\\-4x-y=\frac{-109}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{105}{68}-5x\\-3x-6y=\frac{249}{34}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{22}{7}\\5x+2y=\frac{-113}{28}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+2y=\frac{-22}{3}\\-6x-y=\frac{13}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-2y=\frac{-44}{15}\\4x-y=\frac{-24}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-3y=\frac{-9}{16}\\-4x=y+\frac{109}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+5y=\frac{13}{21}\\-5x-5y=\frac{-125}{21}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-184}{57}-5x\\-x+5y=\frac{161}{114}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{1}{6})\}\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{-64}{21}\\-x-4y=\frac{82}{21}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-4}{3})\}\)
4. \(\left\{\begin{matrix}6x+3y=\frac{4}{19}\\x=-3y+\frac{-31}{19}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-32}{7}\\-3x=-4y+\frac{-103}{7}\end{matrix}\right.\qquad V=\{(5,\frac{1}{14})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{430}{77}-2x\\x-4y=\frac{278}{77}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-6}{11})\}\)
7. \(\left\{\begin{matrix}4x+2y=\frac{113}{15}\\-4x-y=\frac{-109}{15}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{4}{15})\}\)
8. \(\left\{\begin{matrix}-y=\frac{105}{68}-5x\\-3x-6y=\frac{249}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{-5}{4})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{22}{7}\\5x+2y=\frac{-113}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{7})\}\)
10. \(\left\{\begin{matrix}-5x+2y=\frac{-22}{3}\\-6x-y=\frac{13}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-9}{2})\}\)
11. \(\left\{\begin{matrix}3x-2y=\frac{-44}{15}\\4x-y=\frac{-24}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-8}{15})\}\)
12. \(\left\{\begin{matrix}2x-3y=\frac{-9}{16}\\-4x=y+\frac{109}{16}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-13}{16})\}\)