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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{775}{8}-5x\\-x+y=\frac{-155}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{1271}{78}+x\\-3x+5y=\frac{-1127}{78}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-4y=-14\\x=-3y+\frac{-31}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-2y=\frac{-37}{22}\\3x=2y+\frac{-15}{22}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-93}{28}-3x\\2x-y=\frac{-75}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-2y=\frac{-23}{88}\\-3x+y=\frac{127}{88}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+5y=\frac{61}{3}\\x+6y=\frac{254}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-y=4\\-3x+3y=\frac{21}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+2y=\frac{19}{9}\\5x-y=\frac{49}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{157}{39}\\-5x=-6y+\frac{-566}{39}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-442}{63}-6x\\4x-y=\frac{-409}{63}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+6y=\frac{230}{7}\\x=y+\frac{-30}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{775}{8}-5x\\-x+y=\frac{-155}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{8},-17)\}\)
2. \(\left\{\begin{matrix}-5y=\frac{1271}{78}+x\\-3x+5y=\frac{-1127}{78}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-19}{6})\}\)
3. \(\left\{\begin{matrix}6x-4y=-14\\x=-3y+\frac{-31}{18}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{1}{6})\}\)
4. \(\left\{\begin{matrix}x-2y=\frac{-37}{22}\\3x=2y+\frac{-15}{22}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{12}{11})\}\)
5. \(\left\{\begin{matrix}4y=\frac{-93}{28}-3x\\2x-y=\frac{-75}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{6}{7})\}\)
6. \(\left\{\begin{matrix}3x-2y=\frac{-23}{88}\\-3x+y=\frac{127}{88}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-13}{11})\}\)
7. \(\left\{\begin{matrix}-5x+5y=\frac{61}{3}\\x+6y=\frac{254}{15}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},3)\}\)
8. \(\left\{\begin{matrix}-2x-y=4\\-3x+3y=\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},1)\}\)
9. \(\left\{\begin{matrix}3x+2y=\frac{19}{9}\\5x-y=\frac{49}{9}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{9})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{157}{39}\\-5x=-6y+\frac{-566}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-17}{13})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-442}{63}-6x\\4x-y=\frac{-409}{63}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{7}{9})\}\)
12. \(\left\{\begin{matrix}4x+6y=\frac{230}{7}\\x=y+\frac{-30}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},5)\}\)