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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-5y=\frac{-135}{13}\\4x=y+\frac{-144}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{235}{38}\\2x-y=\frac{-11}{190}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{37}{30}+2x\\x+4y=\frac{-124}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-6y=57\\x-2y=\frac{77}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{-37}{2}\\x-2y=\frac{33}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+y=\frac{-173}{9}\\-5x=-5y+\frac{-415}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-5y=\frac{-151}{42}\\-2x+y=\frac{59}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{91}{22}-6x\\6x+y=\frac{47}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{108}{5}+3x\\-3x-y=\frac{48}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-6y=-33\\x+y=\frac{19}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-6y=\frac{-506}{45}\\-x+y=\frac{1}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+6y=\frac{93}{7}\\x=-y+\frac{-11}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-5y=\frac{-135}{13}\\4x=y+\frac{-144}{13}\end{matrix}\right.\qquad V=\{(-3,\frac{-12}{13})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{235}{38}\\2x-y=\frac{-11}{190}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{9}{10})\}\)
3. \(\left\{\begin{matrix}3y=\frac{37}{30}+2x\\x+4y=\frac{-124}{45}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-7}{18})\}\)
4. \(\left\{\begin{matrix}4x-6y=57\\x-2y=\frac{77}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-10)\}\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{-37}{2}\\x-2y=\frac{33}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-8)\}\)
6. \(\left\{\begin{matrix}-2x+y=\frac{-173}{9}\\-5x=-5y+\frac{-415}{9}\end{matrix}\right.\qquad V=\{(10,\frac{7}{9})\}\)
7. \(\left\{\begin{matrix}-2x-5y=\frac{-151}{42}\\-2x+y=\frac{59}{42}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{5}{6})\}\)
8. \(\left\{\begin{matrix}5y=\frac{91}{22}-6x\\6x+y=\frac{47}{22}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{1}{2})\}\)
9. \(\left\{\begin{matrix}4y=\frac{108}{5}+3x\\-3x-y=\frac{48}{5}\end{matrix}\right.\qquad V=\{(-4,\frac{12}{5})\}\)
10. \(\left\{\begin{matrix}6x-6y=-33\\x+y=\frac{19}{2}\end{matrix}\right.\qquad V=\{(2,\frac{15}{2})\}\)
11. \(\left\{\begin{matrix}-4x-6y=\frac{-506}{45}\\-x+y=\frac{1}{45}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{17}{15})\}\)
12. \(\left\{\begin{matrix}-3x+6y=\frac{93}{7}\\x=-y+\frac{-11}{14}\end{matrix}\right.\qquad V=\{(-2,\frac{17}{14})\}\)