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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{-422}{19}\\-3x+y=\frac{139}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{103}{36}+x\\-6x-2y=\frac{221}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-127}{130}\\-x+y=\frac{-127}{260}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+y=\frac{-24}{7}\\-3x+2y=\frac{-3}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=\frac{-74}{13}\\5x=3y+\frac{-302}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+2y=\frac{-260}{17}\\x=-5y+\frac{-870}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=0-6x\\x-4y=-6\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+4y=\frac{-26}{3}\\x=-4y+\frac{-25}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{11}{2}-2x\\-4x-y=0\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{-25}{4}-3x\\-x+2y=\frac{-25}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{695}{171}\\x+3y=\frac{-97}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{116}{91}+6x\\-x-4y=\frac{-24}{91}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{-422}{19}\\-3x+y=\frac{139}{38}\end{matrix}\right.\qquad V=\{(\frac{18}{19},\frac{13}{2})\}\)
2. \(\left\{\begin{matrix}y=\frac{103}{36}+x\\-6x-2y=\frac{221}{18}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{11}{18})\}\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-127}{130}\\-x+y=\frac{-127}{260}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-19}{20})\}\)
4. \(\left\{\begin{matrix}6x+y=\frac{-24}{7}\\-3x+2y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{-9}{7})\}\)
5. \(\left\{\begin{matrix}3x-y=\frac{-74}{13}\\5x=3y+\frac{-302}{39}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-17}{13})\}\)
6. \(\left\{\begin{matrix}-4x+2y=\frac{-260}{17}\\x=-5y+\frac{-870}{17}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},-10)\}\)
7. \(\left\{\begin{matrix}3y=0-6x\\x-4y=-6\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}2x+4y=\frac{-26}{3}\\x=-4y+\frac{-25}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-2)\}\)
9. \(\left\{\begin{matrix}-5y=\frac{11}{2}-2x\\-4x-y=0\end{matrix}\right.\qquad V=\{(\frac{1}{4},-1)\}\)
10. \(\left\{\begin{matrix}4y=\frac{-25}{4}-3x\\-x+2y=\frac{-25}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-5}{2})\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{695}{171}\\x+3y=\frac{-97}{57}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-4}{9})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{116}{91}+6x\\-x-4y=\frac{-24}{91}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{1}{7})\}\)