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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-y=33\\6x=3y+48\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-y=1\\-4x=2y+5\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-2y=\frac{-904}{105}\\-5x-y=\frac{1108}{105}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+4y=22\\x=-y+\frac{5}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+2y=\frac{-179}{42}\\-x+y=\frac{59}{84}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-162}{35}-6x\\x-y=\frac{-69}{70}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-2y=\frac{-16}{171}\\5x-y=\frac{-305}{171}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-3y=\frac{-41}{44}\\-x=3y+\frac{127}{44}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+6y=\frac{160}{171}\\x=5y+\frac{-640}{171}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{109}{60}+6x\\5x-y=\frac{-43}{120}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{45}{7}\\-2x=y+\frac{-43}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{182}{51}+2x\\4x+y=\frac{-211}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-y=33\\6x=3y+48\end{matrix}\right.\qquad V=\{(\frac{17}{2},1)\}\)
2. \(\left\{\begin{matrix}-4x-y=1\\-4x=2y+5\end{matrix}\right.\qquad V=\{(\frac{3}{4},-4)\}\)
3. \(\left\{\begin{matrix}6x-2y=\frac{-904}{105}\\-5x-y=\frac{1108}{105}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-19}{15})\}\)
4. \(\left\{\begin{matrix}-4x+4y=22\\x=-y+\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},4)\}\)
5. \(\left\{\begin{matrix}2x+2y=\frac{-179}{42}\\-x+y=\frac{59}{84}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{-5}{7})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-162}{35}-6x\\x-y=\frac{-69}{70}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{9}{7})\}\)
7. \(\left\{\begin{matrix}4x-2y=\frac{-16}{171}\\5x-y=\frac{-305}{171}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{-10}{9})\}\)
8. \(\left\{\begin{matrix}5x-3y=\frac{-41}{44}\\-x=3y+\frac{127}{44}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}2x+6y=\frac{160}{171}\\x=5y+\frac{-640}{171}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{10}{19})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{109}{60}+6x\\5x-y=\frac{-43}{120}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-4}{15})\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{45}{7}\\-2x=y+\frac{-43}{14}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{5}{2})\}\)
12. \(\left\{\begin{matrix}4y=\frac{182}{51}+2x\\4x+y=\frac{-211}{51}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{1}{3})\}\)